Quiz on Arithmetrc and Geometric Sequence

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

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

• 14
• 68
• 63
• 71

Multiple Choice

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

• 14
• 20
• 26
• 29

Multiple Choice

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Multiple Choice

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

• 32
• 64
• 127
• 356

Multiple Choice

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

• 18
• 17
• 15
• 14

Multiple Choice

What is the 15th term of the sequence an = -3n+50

• 95
• -5
• 5
• -95

Multiple Choice

What is the 10th term of the sequence an = 20-2n

• 40
• -20
• 7
• 0

Multiple Choice

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

• yes
• no

Multiple Choice

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

• Arithmetic
• Geometric
• Neither

Multiple Choice

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

• Arithmetic
• Geometric
• Neither

Multiple Choice

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

• $50
• $35
• $320
• $250

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

This is an arithmetic sequence. 8, 7.3, 6.6, 5.9, . . .

What function describes the sequence?

• f (x) = −0.7x + 8

• f (x) = −0.7x + 8.7

• f (x) = 0.7x + 8

• f (x) = 0.7x + 8.7

Multiple Choice

Identify the common difference or ratio.

3, 7, 11, 15, ...

• Ratio, -4

• Difference, -4

• Difference, 4

• Ratio, 4

Multiple Choice

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

Multiple Choice

What is the a₁₂ term in the following sequence? 2, 4, 6, 8, 10, 12, ……….. 

• 46
• 34
• 24
• 88

Multiple Choice

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

• 18
• 17
• 15
• 14

Multiple Choice

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

• a₅ = 160
• a₅ = 40
• a₅ = 10
• a₅ = 80

Multiple Choice

What is the explicit rule for the sequence:
11, 22, 44, 88...

• u_n = 2(11)^n-1
• u_n = 11(2)
• u_n = 11(2)^n-1

Multiple Choice

The "a" value in f(x)=a(b)^x for geometric sequences represents what?

• first term
• term we're looking for, minus one
• common difference
• common ratio

Multiple Choice

What formula would you use to find a term for

6, 18, 54, 162, ...?

• f(x) = a(b)^x

• f(x) = mx + b

Multiple Choice

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

• a₁ = 3 and d = -5
• a₁ = -8 and d = 3
• a₁ = -5 and d = 3
• a₁ = -5 and d = -3

Multiple Choice

Write the EXPLICIT rule for the arithmetic sequence

-10, -3, 4, 11,...

• a_n = 10n + 17

• a_n = 7n - 17

• a_n = -7n + 17

• a_n = 7n + 3

Multiple Choice

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1