Question

Is 100 a term of the arithmetic sequence 1,4,7,...? What about 1001

Answer 1

Answer:

Given series is 1,5,9,13,17,...

Common difference (d)=5−1=4

First term is a=1

So n

th

term is t

n

=a+(n−1)d=1+(n−1)4=4n−3

∴t

n

=4n−3

Answer 2

Answer:

∴ 101 is the term of this AP. ∴ 1001 is not the term of this ap