The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 36 and the common ratio is one half. write the sum in sigma notation and calculate the sum that will be the upper limit of this population.

Option 3 - ; the sum is 72.

Step-by-step explanation:

Given : The population of a local species of dragonfly can be found using an infinite geometric series where and the common ratio is one half.

To find : Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.        

Solution :

Geometric series is

The formula of sum of geometric infinite series is

In the given geometric series,

and

According to question,

Therefore, Option 3 is correct.

; the sum is 72.

1332.

this is because to get from 333 to 999 you multiply by 3, and you should do the same to the number of hours.

therefore you would do 444*3=1332

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