Sum to n terms of the series $$1+(1+2)+(1+2+$$ $$3)$$ $$+$$…is

Correct option is 416n(n+1)(n+2)

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Sum to n terms of the series $1 + (1 + 2) + (1 + 2 + 3) + \dots$ is

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12n(n+1)(n+2)

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detailed solution

Correct option is D

tr=1+2+…+r=12r(r+1)=12r2+r∑r=1n tr=1216n(n+1)(2n+1)+12n(n+1)=16n(n+1)(n+2)

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Sum to n terms of the series 1+(1+2)+(1+2+ 3) +…is

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Sum to n terms of the series $1 + (1 + 2) + (1 + 2 + 3) + \dots$ is