what is the sum of the infinite geometric series? .1/2+1/4+1/8+1/16+

The sum of the given geometric series is, 1

Step-by-step explanation:

Geometric sequence states that a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio (r).

The sum of the infinite terms of a geometric series is given by:

......[1] ;where

Given the series:

Since, this series is geometric series with constant term(r) =

Since,

,

and so on....

Here, first term(a) =

Substitute the values of a and r in [1] we get;

  where r =  

or

Simplify:

Therefore, the sum of the infinite geometric series is, 1

i need a picure

step-by-step explanation:

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