Question

Is 101 a term of the arithmetic sequence 13, 24, 35, ...? what about 1001? ​

Answer 1

Answer:

101 is a ninth term of given sequence whereas 1001 is not a term of given sequence

Answer 2

Answer:

let an=101

a=13

d=24-13(a2-a1)

d=11

an= a +(n-1)d

101=13+(n-1)11

101=13+11n-11

101-13=11n-11

88+11=11n

99=11n

99/11=n

n=9

therefore 101 is a term in ap

let an be 1001

a =13

d = 11

an =a+(n-1)d

1001=13+(n-1)11

1001-13=11n-11

988+11=11n

999/11=n

therefore 1001 is not a term in the above ap