Question

Will fan and give medal (:

The population of a local species of beetle can be found using an infinite geometric series where a1 = 880 and the common ratio is one forth. Write the sum in sigma notation and calculate the sum (if possible) that will be the upper limit of this population.

Answer 1

the summation of 880 times one fourth to the i minus 1 power, from i equals 1 to infinity. ; the sum is divergent

the summation of 1174 times one fourth to the i minus 1 power, from i equals 1 to infinity. ; the sum is 1,173

the summation of 880 times one fourth to the i power, from i equals 1 to infinity. ; the series is divergent

the summation of 880 times one fourth to the i power, from i equals 1 to infinity. ; the sum is 1,173

Answer 2

I guessed A because I really have no idea how to do this...

Answer 3

@hartnn

Answer 4

lets use the formulas instead of guessing it :)

r = 1/4 is given, 1st term = 880 is given
so, n'th term is
\(a_n = a_1 r^{n-1}\)
just plug in values!

Answer 5

B