Geometric/Arithmetic Sequence

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

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

• -4

• 10

• -122

• 174

Find the 10th term of this sequence:
{96, 48, 24, 12, ... }

• 3/16

• 1/2

• 6

• 3

An auditorium has 80 rows of seats and the number of seats per row increases at a constant rate.  If there are 32 seats in the 8th row, and 68 seats in the 20th row, how many seats are in the last row?

• 240

• 248

• 272

• 320

Which lists four consecutive terms of an arithmetic sequence?

• 1, 4, 9, 16, ...

• 3, 10, 17, 24, ...

• 1, 2, 4, 8, ...

• -5, 6, 10, 13, ...

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

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

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

Write the formula to find the nth term:
24, 12, 6, 3,...

Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }

• Arithmetic

• Geometric

• Neither