Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesSpecial sequences/seriesMedium2 minQB

MathematicsMediummultiple choice

For every positive integer n, Σ(r=1 to n) r(r+1)=(n+a)(n+b)(n+c)/3, where a,b,c are fixed real numbers with a<b<c. Which statements hold?

Answer:

A, B, C

Solution:

$\sum_{r = 1}^{n} r (r + 1) = \frac{n ( n + 1 ) ( n + 2 )}{3}$ , giving $a = 0, b = 1, c = 2$ . Substitute into the options.

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Special sequences/series

⏱ 2mℹ️ Source: QB

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