Arithmetic Sequence Questions With Solution Step By Step

Arithmetic sequence questions with solution step by step

 

1. Find the seventh term of an arithmetic sequence in which the first

term is 11 and the common difference is 4.

Solution: a(sub)1= 11 d= 4 n=7

a(sub)n=a(sub)1+ (n-1)d

a(sub)7= 11+(7-1)11

a(sub)7= 11+(6)11

a(sub)7= 11+66

a(sub)7= 77

The seventh term for.the AS is 77

2. Find the 1001st term of an arithmetic sequence in which the first

term is 10 and the common difference is 5.

Solution: a(sub)1= 10 d= 5 n=1001

a(sub)n=a(sub)1+ (n-1)d

a(sub)1001=10+ (1001-1)5

a(sub)1001=10+ (1000)5

a(sub)1001=10+ 5000

a(sub)1001=5010

The 1001st term for the AS is 5010