Question

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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

these are the choices
a)the summation of three fourths times 42 to the i minus 1 power, from i equals 1 to infinity.; the sum is divergent
b)the summation of three fourths times 42 to the i minus 1 power, from i equals 1 to infinity.; the sum is 168
c)the summation of negative 42 times three fourths to the i minus 1 power, from i equals 1 to infinity.; the sum is divergent
d)the summation of negative 42 times three fourths to the i minus 1 power, from i equals 1 to infinity.; the sum is 168.