prove that Σ_(r=k) ^n r = (1/2)n(n+1) show with a diagram that the volume of a parallepipe is a.(b×c)


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Question Number 66803 by Rio Michael last updated on 19/Aug/19

$p r o v e t h a t$ $\underset{r = k}{\sum^{n}} r = \frac{1}{2} n (n + 1)$ $s h o w w i t h a d i a g r a m t h a t t h e v o l u m e o f a p a r a l l e p i p e i s a . (b \times c)$
Commented by JDamian last updated on 19/Aug/19

$D i d y o u m e a n ‘ ‘ r = 1^{″} ?$
Commented by Rio Michael last updated on 20/Aug/19

$y e s$
Commented by Cmr 237 last updated on 20/Aug/19

$v r a i m e n t$
	Answered by $@ty@m123 last updated on 20/Aug/19

	$S = 1 + 2 + 3 + . . . . . + n$ $a = 1, d = 1$ $S = \frac{n}{2} [2 a + (n - 1) d]$ $S = \frac{n}{2} [2 + n - 1]$ $S = \frac{1}{2} n (n + 1)$
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