Question

The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common ratio is three fourths. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.

Answer 1

the summation of three fourths times 42 to the i minus 1 power, from i equals 1 to infinity.; the sum is divergent.
the summation of three fourths times 42 to the i minus 1 power, from i equals 1 to infinity.; the sum is 168.
the summation of 42 times three fourths to the i minus 1 power, from i equals 1 to infinity.; the sum is divergent.
the summation of 42 times three fourths to the i minus 1 power, from i equals 1 to infinity.; the sum is 168.