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Molodets [167]
3 years ago
11

what is the sum of an 8-term geometric series if the first term is -11, the last term is 180, 224, and the common ratio is -4​

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
8 0

Answer:

The sum is 144,177

Step-by-step explanation:

we know that

The formula of the sum in a geometric sequence is equal to

S=a1[\frac{1-r^{n}}{1-r}]

where

a1 is the first term

r is the common ratio

n is the number of terms

we have

a1=-11

r=-4

n=8

substitute the values

S=(-11)[\frac{1-(-4)^{8}}{1-(-4)}]

S=(-11)[\frac{1-(65.536)}{5}]

S=144,177

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