Question

The population of a local species of mosquitoes 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.

Answer 1

@Kainui

Answer 2

@Nnesha

Answer 3

493.33

Answer 4

lol what

Answer 5

sigma notation \[\huge\rm \sum_{n=1}^{\infty} a_1 r^{n-1}\]
where r is common ratio
a_1 first term
n represents starting value

Answer 6

what is n?

Answer 7

would it be i or i-1

Answer 8

it doesn't matter
you can use any letter it can be k n or i

Answer 9

so it would be i-1?

Answer 10

is it divergent?

Answer 11

\[\huge\rm \sum_{i=1}^{\infty} a_1 r^{i-1}\] better ??

Answer 12

yes, is it divergent?

Answer 13

? @Nnesha