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

\[a,\,\,ar,\,\,a{{r}^{2}},\,a{{r}^{3}},\,a{{r}^{4}}\]



LIMITED OFFER HURRY UP! OFFER AVAILABLE ON ALL MATERIAL TILL TODAY ONLY!

You need to login to perform this action.
You will be redirected in 3 sec spinner

Free
Videos