Question

Find the 90th term of the arithmetic sequence 16, 21, 26,….

Answer 1

Answer:

Given sequence is,

16, 21, 26,….

This is an arithmetic sequence.

The initial term of the sequence (a) is 16

Common difference (d) is 21-16=5

The general term of the sequence is,

$t_n=a+(n-1)d$

To find the 90 th term of the arithmetic sequence.

$t_n=16+(90-1)5$$=461$

The 90th term of the arithmetic sequence 16, 21, 26,…. is 461.