Question

The terms of a sequence increase by a constant amount. If the first term is 7 and the fourth term is 16: list the first six terms of the sequence

Answer 1

Explanation:

s = sequence

`s_(1)` = first term of sequence

`s_(1)` = 7

`s_(4)` = 16

Find the difference between the term number and the values.

Terms:

4 - 1 = 3

Values:

16 - 7 = 9

For every 3 terms, you add 9.

Divide, to find the amount you add for 1 terms.

3 / 3 = 1

9 / 3 = 3

For every 1 terms, you add 3.

Answer:

`s_(1)`= 7

`s_(2)`= 10

`s_(3)`= 13

`s_(4)`= 16

`s_(5)`= 19

`s_(6)`= 22