# JEE Main & Advanced Mathematics Geometric Progression Selection of Terms in a G.P.

## Selection of Terms in a G.P.

Category : JEE Main & Advanced

(1) When the product is given, the following way is adopted in selecting certain number of terms :

 Number of terms Terms to be taken 3 $\frac{a}{r},\,a,\,ar$ 4 $\frac{a}{{{r}^{3}}},\,\frac{a}{r},\,ar,\,a{{r}^{3}}$ 5 $\frac{a}{{{r}^{2}}},\,\,\frac{a}{r},\,\,a,\,\,ar,\,\,a{{r}^{2}}$

(2) When the product is not given, then the following way is adopted in selection of terms

 Number of terms Terms to be taken 3 $a,\,\,ar,\,\,a{{r}^{2}}$ 4 $a,\,\,ar,\,\,a{{r}^{2}},\,a{{r}^{3}}$ 5 $a,\,\,ar,\,\,a{{r}^{2}},\,a{{r}^{3}},\,a{{r}^{4}}$

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