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12/20/2022-HW Unit 7 Qu-est Review

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Last updated about 3 years ago
26 Nsɛmmisa

https://www.desmos.com/testing/virginia/graphing

The following video gives some 'proof' to the formula for infinite geometric series... Try not to over-complicate this topic. TRUST ME, it will get over-complicated when you get to calculus. For now, go with the plan. :-)

https://youtu.be/wqnpSzEzq1w

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Move each sequence to the appropriate type: Arithmetic or Geometric

  • 13.5, 13.75, 14, 14.25, ...

  • 125, 195, 265, 335,...

  • 90, 45, 22.5, 11.25, ...

  • 63, 15.75, 3.9375, 0.984375, ...

  • Arithmetic Sequence

  • Geometric Sequence

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Find the sum of the infinite geometric series, if it exists.

(just type the answer...if it doesn't exist type 'does not exist')

NOTE: Be sure to use the fraction in your equation..desmos is going to give you a rounded decimal on the x-axis...find the r and use the fraction NOT the decimal or your answer will be off.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Find the sum of the infinite geometric series, if it exists.

(just type the answer as a fraction...if it doesn't exist type 'does not exist')

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Find the sum of the infinite geometric series, if it exists.

(just type the answer...if it doesn't exist type 'does not exist')

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Find the sum of the infinite geometric series, if it exists.

(just type the answer...if it doesn't exist type 'does not exist')

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Find the sum of the infinite geometric series, if it exists.

(just type the answer...if it doesn't exist type 'does not exist')

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Given the recursive formula, what is the third term of the sequence?

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Write the recursive formula representing the sequence 2, 12, 72, 432,...

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Write the recursive formula representing the sequence 7, 11, 15, 19,...

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

An ampitheater has 36 rows. The first row has 12 seats, the second row has 15 seats, and the third row has 18 seats. Assuming the pattern continues, how many seats are in the ampitheater?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

The first row of a movie theater has 21 seats, and each row after the first has two more seats then the row before it. Your Algebra 2/Trig class is planning to take a field trip to the movies and all 35 students want to sit in the same row. Which row will they be seated in?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

What is the nth term of the indicated sequence?

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

What is

for the arithmetic series described?

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Find the missing terms in the following series:

? , 7, ??, ???, 13

(sub the p values into the equation)

  • 12

  • 5

  • 1

  • -3

  • 3

  • -5

  • ?

  • ??

  • ???

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

What series is represented by

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

What is the last term of the following arithmetic sequence?

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

165 is the ______ term in the arithmetic sequence 30, 45, 60, 75, ...

(find n...just type in the number)

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

What is the common ratio of the indicated geometric sequence?

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Given the sequence:

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

What is the sum of the following series?

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Which is the nth term of the indicated sequence?

(just type in the answer..as a fraction, if necessary)

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

What is the sum of the following series?

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Starting with n=1, select which numbers would be included in the first five terms of the sequence represented by

(just select in the correct answers--note, this is NOT recursive, so just substitute the values of n)

  • 13

  • 19

  • 18

  • 8

  • 3

  • 12

  • 6

  • 23

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Find the missing arithmetic means in each sequence (the missing terms)

(just select in the correct answers)

  • 12

  • -4

  • 10

  • 14

  • 3

  • -15

  • -17

  • ?

  • ??

  • ???

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

upload your pages of work here--page 1

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26.

upload your pages of work here--page 2