What is the sum of an 8-term geometric series if the first term is −11, the last term is 859,375, and the common ratio is −5? −143,231 −36,047 144,177 716,144

The sum of geometric series is 716144

Step-by-step explanation:

Given

First term=a_1= -11

Last term=a_8=859375

Common ration of geometric series=r= -5

And

Total terms in geometric sequence=n=8

We know that the formula for sum of geometric series is:

S_n=  (a_1 (1-r^n))/(1-r)

=  (-11(1-(-5)^8)/(1-(-5))

=  (-11(1-5^8))/(1+5)

=  (-11(1-390625))/6

=(-11(-390624)))/6

=4296864/6

=716144

So the sum of geometric series is: 716144  ..

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

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step-by-step explanation:

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