Question

The population of a local species of beetle can be found using an infinite geometric series where a1 = 880 and the common ratio is one fourth. Write the sum in sigma notation, and calculate the sum (if possible) that will be the upper limit of this population.

Answer 1

and calculate the sum (if possible) that will be the upper limit of this population.

the summation of 880 times one fourth to the i minus 1 power, from i equals 1 to infinity. ; the sum is divergent
the summation of 880 times one fourth to the i minus 1 power, from i equals 1 to infinity. ; the sum is 1,173
the summation of 880 times one fourth to the i power, from i equals 1 to infinity. ; the series is divergent
the summation of 880 times one fourth to the i power, from i equals 1 to infinity. ; the sum is 1,173