Ask Me Help Desk - If the middle term of G.P series having 3 term is 6 and if the sum of first and 3rd t

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If the middle term of G.P series having 3 term is 6 and if the sum of first and 3rd t

If the middle term of G.P series having 3 term is 6 and if the sum of first and 3rd then detrmine the three numbers ?

Use your GP formula:

$T_n = ra^{n-1}$

$T_2 = 6 = ra^{2-1}$

$T_1 + T_3 = ra^{1-1} + ra^{3-1}$

$S_3 = T_1 + T_2 + T_3 = \frac{a(1-r^n)}{1-r}$

n = 3

I think that you have enough equations.

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