Geometric Sequences Explicit and Recursive

The next two terms of the sequence 2,-4, 8,-16 are

• 32, 64

• 32, -64

• -64, 108

• 32, 20

The sequence 6, 18, 54...

• Arithmetic

• Geometric

• Explicit

• Recursive

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31

• 5, -11, -27, -43

• -16, -80, -500, -200

• -16, -11, -6, -1

A sequence is defined recursively by the function below. What are the terms of the sequence?​ =​ =​

• 2

• 0.0625

• 4

• 1

• 0.5

• 0.25

• 0.125

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

• 1

• 2

• 3

• 4

Given          t(n+1) = t(n) + 3
and             t(1) = 10, 
is this sequence also arithmetic or  geometric or neither?

• arithmetic

• geometric

• neither

• Don't pick this one!

A sequence is defined recursively by the function below. What are the terms of the sequence?​ ​

• 2

• 0.0625

• 4

• 1

• 0.5

• 0.25

• 0.125