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1+2^1+2^2+2^3+...+2^52=​

Răspuns :

Explicație pas cu pas:

S=1+2+2²+2³+....+2⁵² =>

2S=2+2²+2³+2⁴+.....+2⁵²+2⁵³

=>

2S-S=2+2²+2³+....+2⁵²+5⁵³-1-2-2²-2³-....-2⁵²=>

S=2⁵³-1