pooh4900 pooh4900
  • 10-09-2020
  • Mathematics
contestada

Find the sum of the infinite series, if it exists a1= 26,r=1/2

Respuesta :

PhantomWisdom PhantomWisdom
  • 15-09-2020

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 .

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