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Sequences and Series question

2009 · Shift 2 · Q32

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JEE Advanced
Mathematics
Sequences and Series
2009 · Shift 2 · Q32

Sequences and Series question

2009 · Shift 2 · Q32

JEE AdvancedMathematicsSequences and SeriesMCQ+3 / −1

If the sum of first

n

terms of an A.P. is

c{n^2}

, then the sum of squares of these

n

terms is

A
${{n\left( {4{n^2} - 1} \right){c^2}} \over 6}$
B
${{n\left( {4{n^2} + 1} \right){c^2}} \over 3}$
C
${{n\left( {4{n^2} - 1} \right){c^2}} \over 3}$
D
${{n\left( {4{n^2} + 1} \right){c^2}} \over 6}$

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