Question

Tính tổng :

1 + 2 +4 +8 +16 + 32 + .... +8192

[ trình Bày lời giải ]

Answer 1

Đặt A = 1 + 2 + 4 + ... + 8192

A = 1 + 2 + 2² + ... + 2¹³

=> 2A = 2 + 2² + 2³ + ... + 2¹⁴

=> 2A - A = ( 2 + 2² + 2³ + ... + 2¹⁴ ) - ( 1 + 2 + 2² + ... + 2¹³ )

<=> A = 2¹⁴ - 1

<=> A = 16383

Vậy A = 16383

Answer 2

16383

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