Question

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

A.) 35n + 1; 3,501
B.) n + 34; 134
C.) 34n + 1; 3,401
D.) 35n; 3,500

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