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langkah I :akan dibuktika untuk n = 1 benar
1/2 = 1 - (1/2^1)
= 1 - 1/2
= 1/2 .... benar
langkah II akan dibuktikan untuk n = n + 1 benar
1/2 + 1/4 + 1/8 + ....+ 1/2^(n + 1) = 1 - [1/2^(n + 1)]
1/2 (1 + 1/2 + 1/4 + 1/8 ....+ 1/2^n) = 1/2 (1 + [1 - 1/2^n)
= 1/2 (1 + 1 - 1/2^n)
= 1/2 (2 - 1/2^n)
= 1 - [1/2^(n + 1) .... benar
∴ 1/2 + 1/4 + 1/8 + ...+ 1/2^n = 1 - (1/2^n)
benar untuk semua n bilangan asli ....terbukti