Geometric Sequences

Geometric Sequences

Multiple Choice

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

Multiple Choice

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

• yes
• no

Multiple Choice

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

• 18
• 17
• 15
• 14

Multiple Choice

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

• 32
• 64
• 127
• 356

Multiple Choice

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

• 14
• 20
• 26
• 29

Multiple Choice

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

• 14
• 68
• 63
• 71

Multiple Choice

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

Multiple Choice

What is the common ratio of this sequence?
{2, 10, 50, 250, ... }

• 1,250
• 5
• 10
• 50

Multiple Choice

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

• -4
• 10
• -122
• 174

Multiple Choice

What are the first 4 terms of an arithmetic sequence with a common difference of (-6) if the first term is 76?

• 76, 70, 64, 58
• 76, 82, 88, 94
• 70, 64, 58, 52
• 82, 88, 94, 100

Multiple Choice

What is the common difference:
-2, -11, -20, -29...

• Every Number
• 9
• -9
• -2

Multiple Choice

The next term of the series 11,8,5,2 is...

• -1
• -2
• 1
• 2

Multiple Choice

What is the common difference of the arithmetic sequence below?
-6, -1, 4, 9...

• 5
• -5
• -6
• 1/5

Multiple Choice

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

• 25
• 20
• 5
• 4

Multiple Choice

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

Multiple Choice

What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...

• Arithmetic
• Geometric
• Neither