Simple Arithmetic and Geometric Sequences

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2

In a geometric sequence, a₄ = −9, a₅ = −27, and a₆ = −81. What is the recursive formula for this sequence?

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In a geometric sequence, a₄ = 18, a₅ = 6, and a₆ = 2. 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

What is a_{5 (5th term)} in the sequence defined as follows? a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

• 63

• 39

• 69

• 36

The individual numbers in a sequences are called...

• Common difference

• Successive term

• Term

• Geometric term

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic

• Geometric

• Neither

What is the common ratio: 5, 25, 125, 625...

• 25

• 20

• 5

• 4