Prove
[tex]\sum_{n=0}^{k} n = \frac{k(k+1)}{2}[/tex]
is true. Explain with step-by-step processes.
[tex]\sum_{n=0}^{k} n = \frac{k(k+1)}{2}[/tex]
is true. Explain with step-by-step processes.
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[tex]\small\pink{✏️}[/tex]
✏️1.
[tex]( \frac{n}{o}) + 1.( \frac{n}{1} ) + 2( \frac{n}{2} )[/tex]
[tex] + ... + (n - 1).( \frac{n}{n - 1} )[/tex]
[tex] + n.( \frac{n}{n} )[/tex]
✏️2.
[tex] \frac{1}{1.2} + \frac{1}{2 .3} +1 \frac{1}{3.4} + ...[/tex]
[tex] + \frac{1}{(n - 1).n} [/tex]