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8 February, 21:05

The common ratio in a geometric series is 0.5, and the first term is 256.

Find the sum of the first 6 terms in the series.

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Answers (1)
  1. 9 February, 00:47
    0
    504

    Step-by-step explanation:

    S6=256[1 - (0.5) ⁶] / (1-0.5)

    S6=256[1 - (1/2) ⁶] / (1/2)

    S6=2⁸[ (2) ⁶-1] / (2⁵)

    S6=2³ (64-1)

    S6=8*63

    S6=504

    Or; S6=256+128+64+32+16+8=504
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