Given :
An infinite series :
[tex]a_1=26[/tex]
[tex]r=\dfrac{1}{2}[/tex]
To Find :
The sum of the infinite series .
Solution :
The sum of infinite series of G.P is given by :
[tex]S=\dfrac{a_1}{1-r}\\\\S=\dfrac{26}{\dfrac{1}{2}}\\\\\\S=52[/tex]
Therefore , the sum of the infinite series is 52 .
Hence , this is the required solution .