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Review for Semester 1 Exam Unit 1(IM Algebra II)
By Christine Price
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Last updated about 1 year ago
11 questions
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Note from the author:
This is a quick review of IM Unit 1 Material
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Question 1
1.
Given the below sequence determine if this is an arithmetic or geometric sequence?
3, 9, 27, 81,....
Arithmetic
Geometric
Question 2
2.
What is the common difference or common ratio for question 1?
Question 3
3.
What is the explicit formula given that for n = 1, 2, 3, 4, ... the sequence is 3, 9, 27, 81,....
Question 4
4.
What is the recursive formula given that for n = 1, 2, 3, 4, ... the sequence is 3, 9, 27, 81,....
Question 5
5.
What is the 10th term in the sequence?
Question 6
6.
A geometric sequence has a 5th term of 2 and an 8th term of 128. Find the common ratio. What is the 3rd term?
Question 7
7.
Which sequence is an arithmetic sequence?
5, 10, 17, 28, 45
2, 5, 8, 11, 14
3, 6, 12, 24, 48
1, 1, 2, 3, 5
Question 8
8.
What is the common difference of the arithmetic sequence?
Question 9
9.
What is the explicit formula of the arithmetic sequence 2, 5, 8, 11, 14... where n = 0, 1, 2....
a_n = 2 + 3(n - 1)
a_n = 5 + 3(n - 1)
a_n = 2 + 3(n - 1)
a_n = 2 + 3n
Question 10
10.
What is the recursive formula given a(n) = 2, 5, 8... where n = 0 ,1 ,2, 3,....
a(0) = 5; a(n) = a(n-1) + 1
a(0) = 2; a(n) = a(n-1) + 3
a(1) = 2; a(n) = a(n-1) + 3
a(0) = 3; a(n) = a(n-1) + 2
Question 11
11.
Find the 100th term of the sequence 2, 5, 8, 11, 14.
298
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301