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Binomial Theorem question

2021 · 25 Jul · Shift 1 · Q29

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2021 · 25 Jul · Shift 1 · Q29

Binomial Theorem question

2021 · 25 Jul · Shift 1 · Q29

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If b is very small as compared to the value of a, so that the cube and other higher powers of

{b \over a}

can be neglected in the identity

{1 \over {a - b}} + {1 \over {a - 2b}} + {1 \over {a - 3b}} + ..... + {1 \over {a - nb}} = \alpha n + \beta {n^2} + \gamma {n^3}

, then the value of

\gamma

is :

A
${{{a^2} + b} \over {3{a^3}}}$
B
${{a + b} \over {3{a^2}}}$
C
${{{b^2}} \over {3{a^3}}}$
D
${{a + {b^2}} \over {3{a^3}}}$

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