Arithmetic and Geometric Sequences

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25

• 20

• 5

• 4

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

• 19,683

• 6,561

• 2,187

• 729

What is the 38th term of this sequence?
{26, 22, 18, 14, ... }

• -4

• 10

• -122

• 174

Create the formula for the geometric sequence:
1, 4, 16, 64...

• a_n = 3^n-1

• a_n = 2^n-1

• a_n = 5^n-1

• a_n = 4^n-1

Create the formula for the geometric sequence:
-2, 10, -50, 250...

• a_n = 2(-5)^n-1

• a_n = -2(-5)^n-1

• a_n = -2(5)^n-1

• a_n = 2(5)^n-1

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

• Geometric

• Arithmetic

• Both

• Neither