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1-2-2-3-3-4-24-25-




Question Number 188564 by BaliramKumar last updated on 03/Mar/23
1×2+2×3+3×4+...............+24×25 = ?
$$\mathrm{1}×\mathrm{2}+\mathrm{2}×\mathrm{3}+\mathrm{3}×\mathrm{4}+……………+\mathrm{24}×\mathrm{25}\:=\:? \\ $$
Answered by universe last updated on 03/Mar/23
(1^2 +1)+(2^2 +2)+(3^2 +3)+......(24^2 +24)  4×25×49+12×25 = 5200
$$\left(\mathrm{1}^{\mathrm{2}} +\mathrm{1}\right)+\left(\mathrm{2}^{\mathrm{2}} +\mathrm{2}\right)+\left(\mathrm{3}^{\mathrm{2}} +\mathrm{3}\right)+……\left(\mathrm{24}^{\mathrm{2}} +\mathrm{24}\right) \\ $$$$\mathrm{4}×\mathrm{25}×\mathrm{49}+\mathrm{12}×\mathrm{25}\:=\:\mathrm{5200} \\ $$
Commented by BaliramKumar last updated on 03/Mar/23
typo sir   13→25        thanks
$${typo}\:{sir}\:\:\:\mathrm{13}\rightarrow\mathrm{25}\:\:\:\:\:\:\:\:{thanks} \\ $$
Commented by universe last updated on 03/Mar/23
thanks
$${thanks} \\ $$

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