JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Let

S_1, S_2, S_3

be the sums of

n

terms of three series in A.P., the first term of each being 1 and the common differences

1,2,3

, resp. If

S_1+S_3=\lambda S_2

then the value of

\lambda

is:

View answer and explanation

Correct option: B

Option B (2) is correct because substituting the given series into the equation

S_1 + S_3 = \lambda S_2

and solving for λ yields 2.

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