Question

can the sum of n^th terms in AP is n^2 + 13n.justify your answer​

Answer 1

Answer:

Solution:Let us assume that n^{th} term of an AP= n^2 +1

First term (a_1)=1^2+1=1+1=2

2^{nd}term(a_2)=2^2+1=4+1=5

3^{rd}term (a_3)=3^2+1=9+1=10

{Common difference} (d)= Difference between any two consecutive terms of an AP}

So,d=2^{nd} term

-First term= 3^{rd}term-2^{nd} term

d=5-2=10-5

d=3=2

But 3 ≠ 2

{ It is contradicting our assumption}

therefore n^{th} term of an AP can't be (n^2 +1)

Step-by-step explanation:

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