Quiz about Arithmetic or Geometric Sequences Identify

Question 1

Define arithmetic sequences.

Accepted Answer

A sequence whose terms change by adding the same number each time.

Answer

A sequence whose terms change by multiplying the same number each time.

Answer

A sequence whose terms change by dividing the same number each time.

Answer

A list of numbers that often (but not always) form a pattern.

Question 2

Identify a₁

97, 86, 75, 64, ...

Accepted Answer

97

Answer

64

Answer

11

Answer

-11

Question 3

a3 =

Accepted Answer

8

Answer

14

Answer

2

Answer

3

Question 4

Is this graph Arithmetic or Geometric?

Accepted Answer

Arithmetic

Answer

Geometric

Question 5

This sequence represents a(n)....

Accepted Answer

Geometric Sequence

Answer

Arithmetic Sequence

Answer

Neither

Question 6

Find the common ratio: 4, -16, 64, -256, ...

Accepted Answer

r = -4

Answer

r = 2

Answer

r = -2

Answer

r = 4

Question 7

Given the sequence: 125, 25, 5, .... Write the explicit rule:

Accepted Answer

a_n= (125)(1/5)^(n-1)

Answer

a_n = 625(1/5)^(n-1)

Answer

a_n = 625(5)⁽ⁿ⁾

Answer

a_n = 125 + 5n

Question 8

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

Accepted Answer

a_n= 25-4(n-1)

Answer

a_n = 29-4(n-1)

Answer

a_n = 4+25(n-1)

Answer

a_n = 4n + 25

Question 9

This graph is...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 10

The explicit rule for the given graph is...

Accepted Answer

$$a_n=\ 2\cdot2^{n-1}$$

Answer

a $$a_n=\ 2\cdot3^{n-1}$$

Answer

$$a_n=\ 2+\ 2\left(n-1\right)$$

Answer

$$a_n=\ 3\ +\ 2^{n-1}$$

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