Question

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): Sum of n terms of series 12+32+52+... to n terms is $\frac{n}{3}(4n^2-1)$.
Reasons (R): Sum of the squares of first a natural numbers 12, 22, 32,....,n2 is $\frac{n(n+1)(2n+1)}6$.
In the light of the above Statements, choose the correct answer from the options given below:

• A. Both (A) and (R) are true and (R) is the correct explanation of (A)
• B. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
• C. (A) is true but (R) is false
• D. (A) is false but (R) is true

Answer 1

Answer: (A)

Both (A) and (R) are true and (R) is the correct explanation of (A)

Answer 2

The correct answer is(A): Both (A) and (R) are true and (R) is the correct explanation of (A)