Question

Write a variable expression to describe the rule for the sequence. Then find the 100th term. 35, 36, 37,...

Answer 1

Given expression is 35, 36, 37, 38...

First term a = 35

Common difference d = 36-35 = 1

Nth term of arithmetic sequence is:

$n_{th} = a+ (n-1)d$

$n_{th}= 35+(n-1)(1)$

$n_{th} = 34+n$

To find the 100th term, substitute n = 100

$n_{100} = 34 +100$

$n_{100} =134$

Correct option is B