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Question -

1 × 2 × 3 + 2 × 3 × 4 + 3 × 4 × 5 + …



Answer -

Given series is 1 × 2× 3 + 2 × 3 × 4 + 3 × 4 × 5 + …

It’s seen that,

nth term, an = n ( n +1) ( n + 2)

= (n2 + n)(n + 2)

= n+3n+ 2n

Then, the sum of nterms of the series can be expressed as

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