Geometric and Arithmetic Sequences

Create the formula for the arithmetic sequence:
-10, -3, 4, 11...

• a_n = 17-7n

• a_n = -17+7n

• a_n= -17-7n

• a_n = 17+7n

What is the 8th term in the geometric sequence below?

• 19,683

• 6,561

• 2,187

• 729

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

In a geometric sequence, a₁ = 486 and a₂ = 162. What is the explicit formula for this sequence?

• a_n = 2(3)^n-1

• a_n = 18(3)^n-1

• a_n = 18(1/3)^n-1

• a_n = 486(1/3)^n-1

Which of the following best describes this sequence?
\left\{2,\ -4,\ \ 8,\ -16,\ 32,\ ...\right\}

• Arithmetic

• Geometric

• Neither

• Both

The next two terms of the sequence 4, 7, 10, 13 are ....

• 16 and 19

• 15 and 19

• 16 and 18

• 15 and 18

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a₇ ?

• -13

• -11

• -18

• -22

Which of the following best describes this sequence?

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

What is a₅ for the sequence below?

a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80