Question 1

Given the arithmetic sequence: 5, 9, 13, 17,..., what is the explicit formula for the nth term?

Accepted Answer

a_n = 5 + (n - 1) * 4

Answer

a_n = 5n + 4

Answer

a_n = 9n

Answer

a_n = 4n + 5

Question 2

Consider the arithmetic sequence with an initial term of 3 and a common difference of 7. What is the recursive formula for the sequence?

Accepted Answer

a_n = a_{n-1} + 7; a_1 = 3

Answer

a_n = 3n + 7

Answer

a_n = 3n

Answer

a_n = a_{n-1} - 7; a_1 = 3

Question 3

What is the 5th term in the arithmetic sequence whose first term is 4 and common difference is 3?

Accepted Answer

16

Answer

13

Answer

19

Answer

12

Question 4

If an arithmetic sequence starts with 15 and has a common difference of -2, what is the recursive formula for the sequence?

Accepted Answer

a_n = a_{n-1} - 2; a_1 = 15

Answer

a_n = a_{n-1} + 2; a_1 = 15

Answer

a_n = 15n - 2

Answer

a_n = 2a_{n-1}; a_1 = 15

Question 5

What is the common difference of an arithmetic sequence whose explicit formula is given by

a_n = 12 - 5n

?

Accepted Answer

-5

Answer

12

Answer

5

Answer

0

Question 6

In the arithmetic sequence defined by

a_n = 12 - 5n

and

a_n = a_{n-1} + 3

, what is the explicit formula for the nth term?

Accepted Answer

a_n = 8 + (n - 1) * 3

Answer

a_n = 3n - 8

Answer

a_n = 8n + 3

Answer

a_n = 3n

Question 7

If an arithmetic sequence has an explicit formula of

a_n = 12 - 5n

, what is the common difference?

Accepted Answer

7

Answer

-5

Answer

5

Answer

12

Question 8

What is the 8th term of the arithmetic sequence defined by the recursive formula

a_n = 12 - 5n

, with

a_n = a_{n-1} + 3

?

Accepted Answer

45

Answer

51

Answer

54

Answer

48

Question 9

For the arithmetic sequence given by the explicit formula

a_n = 12 - 5n

, what is the first term?

Accepted Answer

2

Answer

5

Answer

4

Answer

3

Question 10

For the arithmetic sequence with the first term

a_n = 12 - 5n

and common difference

a_n = a_{n-1} + 3

, which term is equal to 45?

Accepted Answer

8th term

Answer

6th term

Answer

7th term

Answer

9th term

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