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the population of a local species of beetle can be found using an infinite geometric series where a1 = 960 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.

The sum that will be the upper limit of this population is 1280.

Step-by-step explanation:

Since we have given that

Initial population a₁ = 960

Common ratio =

So, We have to write the sum in sigma notation:

Since

so, the sum is convergent, then,

Hence, the sum that will be the upper limit of this population is 1280.

Answer with explanation:

→Infinite Geometric Series

→The geometric series having common ratio r, and first term a,can be written as:

→So, the geometric Series can be Written as:

→Sum of Infinite geometric Series

=960+240+60+15+.......

Sum ,to infinity, Which is upper limit of this population=1280

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.