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

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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