Question

Is it possible that the product of any two terms of the Arithemetic Sequence 9, 16, 23,..... a term in it? Justify?

Answer 1

Step-by-step explanation:

We have,   2−(−5)=9−2=7,

                  16−9=23−16=7

This shows that the difference of a term and the preceding term is same. Hence the given sequence forms an AP with first term a=−5 and common difference d=7.

General term of an AP is tn=a+(n−1)d

                                           tn=−5+(n−1)×7

                                           tn=7n−12