The sum of three successive terms of a geometric sequence is $\displaystyle 35/2$ while their product is $\displaystyle 125$. Find the three terms.
the three numbers are a, ar, ar^2 .the sum is 35/2
the product of these = a^3 r^3 =125 so r=5/a
Substitute 5/a into the sum equation and solve the quadratic equation for the value of a. From value of a determine r (two cases). Write the two sequences
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