if the product of 3 positive numbers in g.p is 216 and the sum of their squares in 364 then the numbers are
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let the numbers be a/r, a, ar where r is common ratio and a is middle term.
product is a^3 = 216 => a =6
sum is 6/r + 6 + 6r = 364=> 6( 1/r + r ) = 358=> r + 1/r = 358/6 = 59.675
sole the quadratic eqn r + 1/r = 59.675
product is a^3 = 216 => a =6
sum is 6/r + 6 + 6r = 364=> 6( 1/r + r ) = 358=> r + 1/r = 358/6 = 59.675
sole the quadratic eqn r + 1/r = 59.675
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