The population of a local species of mosquitos can be found using an infinite geometric series where a1 = 740 and the common ratio is one sixth. Write the sum in sigma notation, and calculate the sum (if possible) that will be the upper limit of this population.

Question

Mathematics

Sammy Tyler

8 October, 07:25

The population of a local species of mosquitos can be found using an infinite geometric series where a1 = 740 and the common ratio is one sixth. Write the sum in sigma notation, and calculate the sum (if possible) that will be the upper limit of this population.

+3

Answers (1)

Know the Answer?

Evangeline Castaneda · Answer 1

Sum = a1 + a2 + a3 + ... + an = Σan

Sum to infinity of a geometric sequence is given by S∞ = a / (1 - r); where a is the first term and r is the common ratio.

S∞ = 740 / (1 - 1/6) = 740 / (5/6) = 888