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HML Algebra Analyzing Sequences

Last updated over 5 years ago

5 questions

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Question 1

1.

What is the common difference between the elements of the arithmetic sequence below?

-18, -22.5, -27, -31.5, -36

Question 2

2.

Identify which sequences are arithmetic.

a. -5, 5, -5, 5, -5, ...

b. 96, 48, 24, 12, 6

c. 18, 5.5, -7, -19.5, -32

d. -1, -3, -9, -27, -81

e. 16, 32, 48, 64, 80

Question 3

3.

Identify which sequences are geometric.

a. -2, -4, -6, -8, -10, ...

b. 16, -8, 4, -2, 1

c. -15, -18, -21.6, -25.92, -31.104

d. 4, 10.5, 17, 23.5, 30

e. 625, 125, 25, 5, 1

Question 4

4.

A sequence is defined by the recursive formula f(n + 1) = f(n) - 2. If f(1) = 18, what is f(5)?

Question 5

5.

Which recursive formula can be used to generate the sequence below, where
a. f (n + 1) = -3 f(n)

b. f (n + 1) = 3 f(n)

c. f (n + 1) = -2 f(n)

d. f (n + 1) = 2 f(n)