Quiz about Exponential and Sequences Review

Question 1

What is the common ratio for the sequence:
3, 15, 75...

Accepted Answer

5

Answer

12

Answer

1/5

Question 2

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

Accepted Answer

a_n = 11(2)^n-1

Answer

a_n = 2(11)^n-1

Answer

an = 11x2

Question 3

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

Accepted Answer

2

Answer

4

Answer

3

Answer

6

Question 4

Which formula is used to find the explicit equation for geometric sequences?

Accepted Answer

a_n = a₁ * r^n-1

Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ + d(n-1)

Question 5

Which formula is used to find the recursive equation for geometric sequences?

Accepted Answer

a_n = a_n-1 * r

Answer

a_n = a_n-1 + d

Answer

a_n = a₁ + d(n-1)

Answer

a_n = a₁ * r^n-1

Question 6

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 10(2)^n-1

Answer

a_n = 2(10)^n-1

Answer

a_n = 10(2)ⁿ

Answer

a_n = 2(10)ⁿ

Question 7

Find the common ratio for the geometric sequence.

Accepted Answer

-1

Answer

1

Answer

7

Answer

-7

Question 8

Find the common ratio for the geometric sequence.

Accepted Answer

2/3

Answer

3/2

Answer

-2/3

Answer

-3/2

Question 9

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 162(2/3)^n-1

Answer

a_n = (2/3)(162)^n-1

Answer

a_n = 162(3/2)^n-1

Answer

a_n = 162 + (n-1)(-54)

Question 10

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 100(1/2)^n-1

Answer

a_n = 2(100)^n-1

Answer

a_n = 100(2)^n-1

Answer

a_n = (1/2)(100)^n-1

Question 11

What is the 11th term of the geometric sequence?

Accepted Answer

-19,531,250

Answer

-5120

Answer

97,656,250

Answer

19,531,250

Question 12

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 13

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 14

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 15

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 16

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

Accepted Answer

2

Answer

4

Answer

(2)x

Answer

8

Question 17

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

Accepted Answer

4

Answer

2

Answer

(2)x

Answer

8

Question 18

Is the graph linear, exponential or neither?

Accepted Answer

Linear

Answer

Exponential

Answer

Neither

Question 19

Is the table linear, exponential or neither?

Accepted Answer

Exponential

Answer

Linear

Answer

Neither

Question 20

What is the domain of f(x) = 5^x?

Accepted Answer

All Real Numbers

Answer

y > 5

Answer

x > 0

Answer

y > 0

Question 21

The y-intercept for this table is

Accepted Answer

50

Answer

2

Answer

3

Answer

150

Question 22

Linear or exponential?

Accepted Answer

Linear

Answer

Exponential

Question 23

What is the common ratio for the sequence:
28, 14, 7, 3.5...

Accepted Answer

1/2

Answer

2

Answer

-14

Answer

-7

Question 24

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

Accepted Answer

13

Answer

(.27)x

Answer

.27

Answer

3.51

Question 25

y-intercept?
y = 4(0.5)^x

Accepted Answer

4

Answer

0.5

Answer

1

Answer

0

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