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the sum of 3 numbers in gp is 56. if we subtract 1 7 21 from these numbers in that order we obtain an ap find the numbers

    • Posted by Aditya Sai 6 years, 2 months ago

    CBSE > Class 11 > Mathematics
    • 1 answers

    Chandrashekhar Wankhede 6 years, 2 months ago

    the 3 numbers in GP are a/r, a, ar... Sum of these 3 numbers a/r + a + ar = 56 ---> eqn 1 , Now (a/r -1) , (a - 7), ( ar - 21) are in AP. Therefore common difference = (a - 7) - (a/r -1) = ( ar -21) - ( a - 7) .....> eqn 2, solve both equations to find a and r, then find numbers in GP

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