Question

The population of a type of local dragonfly can be found using an infinite geometric series where a1 = 65 and the common ratio is one sixth. Find the sum of this infinite series that will be the upper limit of this population.

Answer 1

78

Explanation:

answer is a.) 78

Answer 2

`\bf \textit{sum of an infinite geometric serie}\\\\ S=\sum\limits_(i=0)^(\infty)\ a_1\cdot r^i\implies \cfrac{a_1}{1-r}\qquad \begin{cases} a_1=65\\ r=(1)/(6) \end{cases}\implies \cfrac{65}{1-(1)/(6)}`