Quiz about Arithmetic Recursive

Question 1

Write the recursive formula for 6, 17, 28, 39, 50....

Accepted Answer

a_n=a_n-1+11
a₁=6

Answer

a_n=a_n-1-4
a₁=6

Answer

a_n=a_n-1+9
a₁=6

Answer

a_n=a_n-1+6
a₁=6

Question 2

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

Accepted Answer

-16, -11, -6, -1

Answer

-16, -21, -26, -31

Answer

5, -11, -27, -43

Answer

-16, -80, -500, -200

Question 3

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

Accepted Answer

a_n = a_n-1 - 16
a₁=17

Answer

a_n = a_n-1 + 16
a₁=17

Answer

a_n = a_n-1 - 17
a₁=17

Answer

a_n = a_n-1 - 15
a₁=17

Question 4

Write the recursive formula for 6, 17, 28, 39, 50....

Accepted Answer

a_n=a_n-1+11
a₁=6

Answer

a_n=a_n-1-4
a₁=6

Answer

a_n=a_n-1+9
a₁=6

Answer

a_n=a_n-1+6
a₁=6

Question 5

Find the 4th term for the sequence defined by a₁=9; a_n=a_n-1+8

Accepted Answer

33

Answer

35

Answer

17

Answer

41

Question 6

The next term of the sequence 2,4,8,16... is

Accepted Answer

32

Answer

64

Answer

24

Answer

20

Question 7

Evaluate the expression using the quotient rule.

Accepted Answer

x5

Answer

x13

Answer

x36

Answer

x-5

Question 8

(2²y³)⁵

Accepted Answer

1024y15

Answer

27y8

Answer

256y8

Answer

None

Question 9

(5³x²y⁴)⁰

Accepted Answer

1

Answer

5xy

Answer

0

Answer

5

Question 10

How would you write 4.3756 x 10⁴in standard form?

Accepted Answer

43,756

Answer

437,560,000

Answer

0.00043756

Answer

4,3756

Question 11

What type of function is f(x)=2(1/7)^x ?

Accepted Answer

Exponential Decay

Answer

Exponential Growth

Answer

Linear

Answer

None of the Abovee

Question 12

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 13

Given the sequence 4, 11, 18, 25...... what is a₃ ?

Accepted Answer

18

Answer

4

Answer

11

Answer

25

Question 14

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1- 1

Accepted Answer

17

Answer

14

Answer

13

Answer

16

Question 15

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

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 16

Identify the common difference.
3, 7, 11, 15, ...

Accepted Answer

4

Answer

6

Answer

5

Answer

2

Question 17

Find the explicit formula:
-3, -33, -63, -93, ...

Accepted Answer

a_n = -3 - 30(n -1)

Answer

a_n = -3 + 30(n -1)

Answer

a_n = -30 - 3(n -1)

Answer

a_n = -30 + 3(n -1)

Question 18

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

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 19

Find the explicit formula:
-23, -16, -9, -2, ...

Accepted Answer

a_n = -23 + 7(n -1)

Answer

a_n = -23 - 7(n -1)

Answer

a_n = 7 - 23(n -1)

Answer

a_n = 7 + 23(n -1)

Question 20

The next two terms of the sequence 4,7,10,13 are

Accepted Answer

16 and 19

Answer

15 and 19

Answer

16 and 18

Answer

15 and 18

Question 21

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

Accepted Answer

a₁ = 6, a_n = a_n-1 - 2

Answer

a_n = -2n + 8

Answer

a₁=6, a_n = a_n - 1 - 2

Answer

a₁ = 6, a_n = a_n-1 + 2

Question 22

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Accepted Answer

-146

Answer

81

Answer

-34

Answer

-225

Question 23

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

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 24

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 25

Find the 10th term.

Accepted Answer

21

Answer

16

Answer

12

Answer

30

Question 26

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

Accepted Answer

-515

Answer

-490

Answer

-535

Answer

460

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