Sequences and Series .........

Try the following questions dealing with arithmetic sequences and series. You'll need a calculator and a pencil & paper. The formulas are reproduced below for your convenience. When you're done, scroll way down the page to check your answers.

Arithmetic Sequences & Series Quiz

1: In the sequence 3, 12, 21, ..., state the value of the common difference d:

2: In the sequence 5, 1, -3, ..., state the value of the common difference d:

3: In the sequence 6, 11, 16, ..., state the value of t₄:

4: In the sequence -3, 0, 3, 6..., state the value of n for the term whose value is 6:

5: In the sequence 4, 7, __, 13, ..., state the value of the missing term:

6: Given the sequence defined by t_n = 4n + 1, state t₁₂:

7: Given the sequence 2, 7, 12, ..., state the simplified term formula:    t_n =

8: Given the sequence 3, 7, 11, ..., state the value of t₈₁:

9: Given the 15-term sequence 5 + 9 + 13 + ... + 61, state the sum:

10: Given the sequence 3 + 10 + 17 + ... + 101, state the sum:

11: Given the sequence 24 + 22 + 20 + ..., state S₄₂:

Scroll way down to see the correct answers.

1: 9 2: -4 3: 21 4: 4 5: 10 6: 49 7: 5n-3 8: 323 9: 495 10: 780 11: -714

Sequences & Series