Question 883766
S = a/(1 - r)


S = 30/(1 - 2/5)


S = 50


So the sum is 50.


The sigma notation is 


*[Tex \LARGE \sum_{i=1}^{\infty}30\left(\frac{2}{5}\right)^{i-1}]


So the answer is <font color="red">choice a)</font>


<font color="red">a)the summation of 30 times two fifths to the i minus 1 power, from i equals 1 to infinity.; the sum is 50. </font>
b)the summation of 30 times two fifths to the i minus 1 power, from i equals 1 to infinity.; the sum is divergent.
c)the summation of two fifths times 30 to the i minus 1 power, from i equals 1 to infinity.; the sum is 50.
d)the summation of two fifths times 30 to the i minus 1 power, from i equals 1 to infinity.; the sum is divergent.