Question

Find the next four terms in the arithmetic sequence.

-15, -7, 1, ...
a.
7, 13, 19, 21
b.
10, 19, 28, 37
c.
9, 17, 25, 33
d.
7, 15, 25, 37


Please select the best answer from the choices provided

a) A
b) B
c) C
d) D

Answer 1

Correct choice is C

Explanation:

The first term of arithmetic cequence is -15, the second term is -7, the third term is 1 and i.e.

The difference between two consecutive terms of the arithmetic sequence is the difference of the arithmetic sequence. Thus, the difference of the arithmetic sequence is

`-7-(-15)=-7+15=8\text{ that is exactly } 1-(-7)=1+7=8.`

Hence,

• fourth term is
  `1+8=9;`
• fifth term is
  `9+8=17;`
• sixth term is
  `17+8=25;`
• seventh term is
  `25+8=33.`

Next four terms are 9, 17, 25, 33.