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svetoff [14.1K]
4 years ago
7

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
1 answer:
hichkok12 [17]4 years ago
7 0

Answer:   -129

<u>Step-by-step explanation:</u>

Given the sequence {-3, 6, -12, 24, ... }, we can see that the first term (a) is -3 and the ratio (r) is \dfrac{6}{-3} = -2.  

Input those values into the Sum formula:

S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_7=\dfrac{-3(1-(-2)^7)}{1-(-2)}\\\\.\quad=\dfrac{-3(1-(-128))}{1+2}\\\\.\quad=\dfrac{-3(1+128)}{3}\\\\.\quad=\dfrac{-3(129)}{3}\\\\.\quad=-129

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