JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Hard

1 of 1

Application +4 | -1

The

m

th term of an

\mathrm{AP}

a

and its

n

th term is

b

, and

m \neq n

. Then the sum of the first

(m+n)

terms of the

\mathrm{AP}

View answer and explanation

Correct option: A

\frac{m+n}{2}\left[a+b+\frac{a-b}{m-n}\right]

Option A is correct because the sum of the first (m+n) terms of an AP is derived using the formulas for the nth term and the sum of n terms of an AP.

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