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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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