Explicit and Recursive Sequences Formulas

Does this recursive routine model growth or decay, and by what percent?
U₁ = 10
U_n+1 = U_n*.75

• Growth, 75%

• Growth, 25%

• Decay, 75%

• Decay, 25%

Write a recursive rule for the sequence 1, 2, 5, 14, 41, 122, …

• a_n = (a_n-1)² + 1

• a_n = 2 a_n-1 - 2

• a_n = 3 a_n-1 - 1

• a_n = 3 a_n-1 + 1

Given the sequence 11, 15, 19, 23..., which recursive formula describes it?

Given the sequence -5, -15, -25, -35..., which recursive formula describes it?

Which of the following recursive formulas represents the given sequence.

Which of the following recursive formulas represents the given sequence. 7, 14, 28, 56, 112, ...

Write the explicit formula for the sequence. 9, 5, 1, -3, ...

Write the explicit formula for the sequence.

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

What is the common ratio: 5, 25, 125, 625...

• 25

• 20

• 5

• 4