Sequences Regents Questions

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Marco wrote out the sequence: -2, 5, 12, 19, 26, ...
Which of the following is NOT equivalent to Marco's sequence?

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What is the 8th term of the sequence shown?

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The fourth term of an arithmetic sequence is 36 and the tenth term is 102.
If the first term is f (1) , which is an equation for the nth term of this sequence?

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What is the common ratio of the sequence:

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If f (1) = -5 and f(n) = 5 f (n - 1) - 4 , then f (4) =

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Roderick and Luke are both keeping track of a sample in Living Environment. Roderick analyzed his with the function R(n) = n3d and Luke created the function L(n) = n6d to keep track of the growth of his sample, where n is the initial amount of the sample and d is the number of days. Luke started with a population of 2, how many items did Roderick start with to achieve the same growth over time?

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Which diagram represents the 3rd term in the sequence shown?

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Which of the following is an arithmetic sequence?

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In California, a forest fire started on Monday and covered 300 square miles. Each day, it covers twice as much area as the day before. If the fire continues to grow at the same rate, how much area will be covered on Friday?

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What is the common difference of the sequence defined by the equation t(n) = 4n + 5 ?

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What is the 5th term of the geometric sequence for which

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What is the common difference in the sequence:
2a + 1, 4a + 4, 6a + 7, 8a + 10, ... ?

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Find m85 of the sequence:
4, 9, 14, 19, ...

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A bacteria culture triples in size every day. If the bacteria population is estimated to be 3 million now on the first day of the experiment, what will it be on day 7 of the experiment?

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A bacteria culture triples in size every day. If the bacteria population is estimated to be 3 million now on the first day of the experiment, write a recursive formula for this sequence.

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When Myra started college, tuition was $8,240 per semester. Each year, the tuition per semester increased by $400. What was the cost of tuition during her spring semester of her fourth year at college?

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When Myra started college, tuition was $8,240 per semester. Each year, the tuition per semester increased by $400. Write the recursive formula for this sequence.

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What is the 12th term of a geometric sequence whose first term is 6 and whose common ratio is -2?

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A geometric sequence has a first term of 6 and a common ratio of -2? What type of graph does this sequence have?

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Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

Is this sequence arithmetic or geometric?

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Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

What is the common difference or ratio?

1

Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

Write the explicit formula for this sequence.

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Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

Write the recursive formula for this sequence.

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Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

What is the 6th term of this sequence?

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Dan wants to impress the Marine recruiter that visits his high school by competing in a push-up contest. Dan plans to train for the contest by doing 3 more push-ups each day than he did the day before. Dan started by being able to do 23 push-ups on day 1.

Find a pattern and write a formula that will give the number of push-ups n days from when he began training.

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Dan wants to impress the Marine recruiter that visits his high school by competing in a push-up contest. Dan plans to train for the contest by doing 3 more push-ups each day than he did the day before. Dan started by being able to do 23 push-ups on day 1.

If the contest is on day 21, how many push-ups should Dan be able to do?

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During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.

Write the explicit formula for this geometric sequence.

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During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.

If nothing could be done to prevent the spread of the flu, in which week would the total number of infected people exceed 12,000?

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During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.

Write the recursive formula for this sequence.

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Jasmin and Saylin have discussed with the principal how boring the hallways look. They have been granted permission to paint the lockers in any pattern they like. The first locker on each floor is painted green while the rest are white.

Jasmin has decided that she will paint the 9th and 17th lockers green.
She is going to continue this pattern through the floor.

If there are 100 lockers on this floor, which locker numbers are green?

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Jasmin and Saylin have discussed with the principal how boring the hallways look. They have been granted permission to paint the lockers in any pattern they like. The first locker on each floor is painted green while the rest are white.

Jasmin has decided that she will paint the 9th and 17th lockers green.
She is going to continue this pattern through the floor.

Write the explicit formula for Jasmin's pattern.

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Jasmin and Saylin have discussed with the principal how boring the hallways look. They have been granted permission to paint the lockers in any pattern they like. The first locker on each floor is painted green while the rest are white.

Saylin has decided that she will paint the 3rd and 9th lockers green.
She is going to continue this pattern through the floor.

If there are 200 lockers on this floor, which locker numbers are green?

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Jasmin and Saylin have discussed with the principal how boring the hallways look. They have been granted permission to paint the lockers in any pattern they like. The first locker on each floor is painted green while the rest are white.

Saylin has decided that she will paint the 3rd and 9th lockers green.
She is going to continue this pattern through the floor.

Write the explicit formula for Saylin's pattern.

Marco wrote out the sequence: -2, 5, 12, 19, 26, ...Which of the following is NOT equivalent to Marco's sequence?

What is the 8th term of the sequence shown?

The fourth term of an arithmetic sequence is 36 and the tenth term is 102.If the first term is f (1) , which is an equation for the nth term of this sequence?

What is the common ratio of the sequence:

If f (1) = -5 and f(n) = 5 f (n - 1) - 4 , then f (4) =

Which diagram represents the 3rd term in the sequence shown?

Which of the following is an arithmetic sequence?

In California, a forest fire started on Monday and covered 300 square miles. Each day, it covers twice as much area as the day before. If the fire continues to grow at the same rate, how much area will be covered on Friday?

What is the common difference of the sequence defined by the equation t(n) = 4n + 5 ?

What is the 5th term of the geometric sequence for which

What is the common difference in the sequence:2a + 1, 4a + 4, 6a + 7, 8a + 10, ... ?

Find m85 of the sequence:4, 9, 14, 19, ...

A bacteria culture triples in size every day. If the bacteria population is estimated to be 3 million now on the first day of the experiment, what will it be on day 7 of the experiment?

A bacteria culture triples in size every day. If the bacteria population is estimated to be 3 million now on the first day of the experiment, write a recursive formula for this sequence.

When Myra started college, tuition was $8,240 per semester. Each year, the tuition per semester increased by $400. What was the cost of tuition during her spring semester of her fourth year at college?

When Myra started college, tuition was $8,240 per semester. Each year, the tuition per semester increased by $400. Write the recursive formula for this sequence.

What is the 12th term of a geometric sequence whose first term is 6 and whose common ratio is -2?

A geometric sequence has a first term of 6 and a common ratio of -2? What type of graph does this sequence have?

Mrs. Mullen wrote the following sequence on the board:-4, 10, -25, 62.5, ...Is this sequence arithmetic or geometric?

Mrs. Mullen wrote the following sequence on the board:-4, 10, -25, 62.5, ...What is the common difference or ratio?

Mrs. Mullen wrote the following sequence on the board:-4, 10, -25, 62.5, ...Write the explicit formula for this sequence.

Mrs. Mullen wrote the following sequence on the board:-4, 10, -25, 62.5, ...Write the recursive formula for this sequence.

Mrs. Mullen wrote the following sequence on the board:-4, 10, -25, 62.5, ...What is the 6th term of this sequence?

During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.Write the explicit formula for this geometric sequence.

During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.If nothing could be done to prevent the spread of the flu, in which week would the total number of infected people exceed 12,000?

During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.Write the recursive formula for this sequence.

Marco wrote out the sequence: -2, 5, 12, 19, 26, ...
Which of the following is NOT equivalent to Marco's sequence?

The fourth term of an arithmetic sequence is 36 and the tenth term is 102.
If the first term is f (1) , which is an equation for the nth term of this sequence?

What is the common difference in the sequence:
2a + 1, 4a + 4, 6a + 7, 8a + 10, ... ?

Find m85 of the sequence:
4, 9, 14, 19, ...

Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

Is this sequence arithmetic or geometric?

Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

What is the common difference or ratio?

Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

Write the explicit formula for this sequence.

Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

Write the recursive formula for this sequence.

Mrs. Mullen wrote the following sequence on the board:
-4, 10, -25, 62.5, ...

What is the 6th term of this sequence?

During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.

Write the explicit formula for this geometric sequence.

During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.

If nothing could be done to prevent the spread of the flu, in which week would the total number of infected people exceed 12,000?

During a flu outbreak, a hospital recorded 8 cases the first week, 32 cases the second week, and 128 cases the third week.

Write the recursive formula for this sequence.