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nika2105 [10]
2 years ago
8

Find the sum of the first 8 terms of the sequence: -5. 15, -45, 135, .......

Mathematics
1 answer:
MakcuM [25]2 years ago
7 0
Sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

S_n= \frac{a_1(1-r^n)}{1-r}

common ratio is -3
-5 times -3 is 15, -15 times -3=-45 etc
first term is -5
and we want the 8th term

S_8= \frac{-5(1-(-3)^8)}{1-(-3)}
S_8= \frac{-5(1-6561)}{1+3}
S_8= \frac{-5(-6560)}{4}
S_8= \frac{32800}{4}
S_8= 8200


the sum is 8200
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