Question

Consider the sequence following a minus 8 pattern: 9, 1, −7, −15, ….

c. Find the 38th term of the sequence.

Answer 1

Answer: -287

Explanation:

The given pattern: 9, 1, -7, -15, ….

We observe that ,

First term : a=9

Common difference between the terms= 1-9=-8

For Arithmetic sequence , the formula to find the nth term is given by :-

`a_n=a+(n-1)d`

Then, 38th term will be :-

`a_(38)=9+(-8)(38-1)\\\\=9-8(37)=9-296=-287`

Hence, the 38th term of the sequence.= -287