Find the exact value of the sum for the following series: $\sum_{x=-2}^{5} \frac{1}{4} \left( -\frac{1}{2} \right)^{x}$
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Step 1: First, let's write out the terms of the series: 1/(4)(-(1)/(2))^(-2) + 1/(4)(-(1)/(2))^(-1) + 1/(4)(-(1)/(2))^0 + 1/(4)(-(1)/(2))^1 + 1/(4)(-(1)/(2))^2 + 1/(4)(-(1)/(2))^3 + 1/(4)(-(1)/(2))^4 + 1/(4)(-(1)/(2))^5 Show more…
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