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18 June, 18:47

The geometric sequence has 10 members. The sum of members with even indexes is 682 and with impartial is 1364. What is the first member and quotient of this sequence?

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  1. 18 June, 18:57
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    Sum of all terms except the first one is 682 + 1364 = 2016

    looks like first term = 2 and common ratio = 2

    becuase sum oi 10 terms is a1 (r^10 - 1) / (r - 1)

    and if we plug in fisrt term a1 = 2 and r = 2 we get

    2 * (2^10 - 1) / (2 - 1) we get 2046

    so first member is 2 and common ratio = 2
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