The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 30 and the common ratio is 2/5. write the sum in sigma notation and calculate the sum that will be the upper limit of this population.

50 is the answer.

Step-by-step explanation:

We have, and common ratio d=2/5.

So, the general form of the geometric series is , for 'n' is from 1 to infinity.

Hence, the sum in sigma form = , where n goes from 1 to infinity.

Now, the infinite sum of geometric series =

i.e. = 50

Hence, the sum which will be the upper limit is 50

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.