Question 1

If the nth term of an arithmetic progression is given by

5n + 3

, what is the common difference?

Accepted Answer

5

Answer

n

Answer

3

Answer

8

Question 2

The sum of the first

5n + 3

terms of an arithmetic series is given by

S_n = 3n^2 + n

. What is the first term of the series?

Accepted Answer

4

Answer

6

Answer

7

Answer

3

Question 3

A geometric series has a first term of

5n + 3

and a common ratio of

S_n = 3n^2 + n

. What is the third term of this series?

Accepted Answer

12

Answer

9

Answer

24

Answer

6

Question 4

What is the sum of the first 20 terms of an arithmetic sequence where the first term is 2 and the common difference is 3?

Accepted Answer

620

Answer

580

Answer

640

Answer

300

Question 5

If the sum of the first

5n + 3

terms of a geometric series is

S_n = 3n^2 + n

, what is the first term of the series?

Accepted Answer

10/3

Answer

15/3

Answer

5/3

Answer

20/3

Question 6

If the 5th term of an arithmetic sequence is 18 and the 10th term is 33, what is the common difference?

Accepted Answer

3

Answer

1.5

Answer

2.5

Answer

2

Question 7

The 8th term of a geometric sequence is 192, and the 4th term is 12. What is the common ratio?

Accepted Answer

2

Answer

3

Answer

1.5

Answer

4

Question 8

What is the sum of the infinite geometric series with the first term

5n + 3

and common ratio

S_n = 3n^2 + n

?

Accepted Answer

7.5

Answer

15

Answer

10

Answer

5.5

Question 9

If the sum of the first 10 terms of an arithmetic sequence is 150 and the first term is 5, what is the common difference?

Accepted Answer

3

Answer

4

Answer

5

Answer

2

Question 10

The sum of the first

5n + 3

terms of an arithmetic sequence is

S_n = 3n^2 + n

and the common difference is

2

. What is the first term?

Accepted Answer

0

Answer

2

Answer

-2

Answer

4

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