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What is [100(−4)^n-1} equal to?

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE What is 1004n1 equal to class=

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tramserran

Answer:   -5100

Step-by-step explanation:

[tex]\sum^4_1[100(-4)^{n-1}]\qquad \rightarrow \qquad a_1=100\ \text{and r = -4}\\\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\\\S_4=\dfrac{100(1-(-4)^4)}{1-(-4)}\\\\\\.\quad=\dfrac{100(1-256)}{1+4}\\\\\\.\quad=\dfrac{100(-255)}{5}\\\\.\quad=20(-255)\\\\.\quad=-5100\\[/tex]

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