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# 7

Pilgan

Diketahui $P (n) : 1 + \frac{1}{2 ^{2}} + \frac{1}{3 ^{2}} + \frac{1}{4 ^{2}} + \dots + \frac{1}{n ^{2}} \leq 2 - \frac{1}{n}$ untuk setiap bilangan asli $n$ . Diandaikan benar untuk $n = k$ , maka akan dibuktikan benar bahwa ....

A

$1 + \frac{1}{2 ^{2}} + \frac{1}{3 ^{2}} + \frac{1}{4 ^{2}} + . . . + \frac{1}{n ^{2}} \leq 2 - \frac{1}{k}$

B

$1 + \frac{1}{2 ^{2}} + \frac{1}{3 ^{2}} + \frac{1}{4 ^{2}} + . . . + \frac{1}{n ^{2}} \leq 2 - \frac{1}{k + 1}$

C

$1 + \frac{1}{2 ^{2}} + \frac{1}{3 ^{2}} + \frac{1}{4 ^{2}} + . . . + \frac{1}{k ^{2}} \leq 2 - \frac{1}{k}$

D

$1 + \frac{1}{2 ^{2}} + \frac{1}{3 ^{2}} + \frac{1}{4 ^{2}} + . . . + \frac{1}{k ^{2}} + \frac{1}{( k + 1 ) ^{2}} \leq 2 - \frac{1}{k + 1}$

E

$1 + \frac{1}{2 ^{2}} + \frac{1}{3 ^{2}} + \frac{1}{4 ^{2}} + . . . + \frac{1}{k ^{2}} + \frac{1}{( k + 1 ) ^{2}} \leq 2 - \frac{1}{k}$