Determine the exact value for the sum of the following convergent geometric series: sum_{n=0}^{infty} 4 left(-frac{1}{7} ight)^n
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The series is given as X(4)", which can be written as X(4^0) + X(4^1) + X(4^2) + ... Here, the first term (a) is X(4^0) = X(1) = X, the common ratio (r) is 4, and since the series is convergent, it has an infinite number of terms (n → ∞). Now, we can use the Show more…
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