Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesA.P.Medium2 minQB
MathematicsMediumsingle choice

Statement 1: If the series itself is an A.P. Statement 2: The sum of n terms of an A.P. with nonzero common difference is quadratic in n.

Options:

Answer:
D
Solution:

S1=12, while Sn-S(n-1)=6n+1 for n>=2. The terms are 12,13,19,25,..., so the first difference is 1, not 6. Statement 1 is false. The A.P. sum formula Sn=na+dn(n-1)/2 makes Statement 2 true. Hence option D.

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:A.P.
⏱ 2mℹ️ Source: QB

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