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Q.

Let $S_{n}$ denote the sum of first n terms of an AP. If $S_{10} = 530, S_{5} = 140 &$ the value of $S_{20} - S_{6} = λ$ then the value of $2 λ$ is

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An Intiative by Sri Chaitanya

a

3704

b

2684

c

3744

d

3724

answer is A.

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Detailed Solution

$S_{n} = A n^{2} + B n$

$S_{10} = 100 A + 10 B = 530$

$S_{5} = 25 A + 5 B = 140$

$\Rightarrow A = 5 B = 3$

$∴ R V = 1862 \times 2 = 3724$

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