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7 October, 18:14

The second term in a geometric sequence is 50. The fourth term in the same sequence is 112.5. What is the common ratio in this sequence?

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  1. 7 October, 21:49
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    Geometric an = ar^ (n - 1)

    Second term = ar² ⁻ ¹ = ar = 50

    Fourth term = ar⁴ ⁻ ¹ = ar³ = 112.5

    ar = 50 ... (a)

    ar³ = 112.5 ... (b)

    Equation (b) / (a)

    ar³ / ar = 112.5/50

    r² = 2.25

    r = √2.25

    r = 1.5

    Common ratio = 1.5
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