Question

Buktikan dengan induksi matematika rumus berikut! 3+5+7+...+(2n+1)=n(n+2) ​

Answer 1

Jawaban:

• n=1

BENAR

• n=k

BENAR

• n=k+1

3 + 5 + 7 + ... + (2k + 1) + (2(k + 1) + 1) = (k + 1)((k + 1) + 2)

=> k(k+2) + 2k + 2 + 1 = (k+1)(k+3)

k² + 2k + 2k + 3 = (k+1)(k+3)

k² + 4k + 3 = (k+1)(k+3)

(k+1)(k+3) = (k+1)(k+3)

TERBUKTI