Arithmetic and Geometric Sequences

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

• 18

• 17

• 15

• 14

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

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }

• Arithmetic

• Geometric

• Neither

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

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 first term of the given sequence:
a₁₄=68
d=3

• 14

• 20

• 26

• 29

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Is the sequence 7, 9, 12, 16,... geometric?

• yes

• no

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

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

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80