Tính 3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 - 7

Tính \(\frac{3}{2} + \frac{5}{4} + \frac{9}{8} + \frac{{17}}{{16}} + \frac{{33}}{{32}} + \frac{{65}}{{64}} - 7\).

Trả lời

\(\frac{3}{2} + \frac{5}{4} + \frac{9}{8} + \frac{{17}}{{16}} + \frac{{33}}{{32}} + \frac{{65}}{{64}} - 7\)

= \(\frac{{96}}{{64}} + \frac{{80}}{{64}} + \frac{{72}}{{64}} + \frac{{68}}{{64}} + \frac{{66}}{{64}} + \frac{{65}}{{64}} - 7\)

= \(\frac{{96 + 80 + 72 + 68 + 66 + 64}}{{64}} - 7\)

= \(\frac{{446}}{{64}} - 7\)

= \(\frac{{ - 1}}{{32}}\).

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