find the following sum and prove your claim:
(12)+(23)+..+n(n+1).

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04-04-2015
Mathematics

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find the following sum and prove your claim:
(12)+(23)+..+n(n+1).

Respuesta :

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AliBaghaei AliBaghaei · Answer 1 · 2015-04-04T19:49:42+02:00

AliBaghaei AliBaghaei

04-04-2015

1*2+2*3+3*4+...+n(n+1)=
(1²+1)+(2²+2)+(3²+3)+...+(n²+n)=
(1² + 2² + 3² + ... + n²) + (1+2+3+...+n)=
[tex] \frac{n(n+1)(2n+1)}{6} * \frac{n(n+1)}{2} [/tex] =
[tex] \frac{n(n+1)(n+2)}{3} [/tex]

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find the following sum and prove your claim: (1*2)+(2*3)+..+n(n+1).

Respuesta :

Otras preguntas

find the following sum and prove your claim:
(12)+(23)+..+n(n+1).