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26 September, 04:50

The sum of the first 6 terms of a geometric series is 15,624 and the common ratio is 5 what is the first term of the serious?

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  1. 26 September, 05:55
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    first term = 4

    Step-by-step explanation:

    Sₙ = (a₁ * (1 - rⁿ)) / (1 - r) a₁: first term r: common ratio n: terms

    15624 = (a₁ * (1 - 5⁶)) / (1 - 5)

    = (a₁ * - 15624) / - 4

    a₁ x (-15624) = 15624 x (-4)

    a₁ = 4

    check: 4+20+100+500+2500+12500 = 15624
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