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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