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Evaluate the summation below.

sum_(i=0)^(4)(-7+7i)
Answer:

Evaluate the summation below.\newlinei=04(7+7i) \sum_{i=0}^{4}(-7+7 i) \newlineAnswer:

Full solution

Q. Evaluate the summation below.\newlinei=04(7+7i) \sum_{i=0}^{4}(-7+7 i) \newlineAnswer:
  1. Write Terms of Series: We will first write out the terms of the series to understand the pattern.\newlineFor i=0i=0: (7+7×0)=7(-7+7\times 0) = -7\newlineFor i=1i=1: (7+7×1)=0(-7+7\times 1) = 0\newlineFor i=2i=2: (7+7×2)=7(-7+7\times 2) = 7\newlineFor i=3i=3: (7+7×3)=14(-7+7\times 3) = 14\newlineFor i=4i=4: (7+7×4)=21(-7+7\times 4) = 21
  2. Find Sum of Terms: Now, we will add these terms together to find the sum of the series.\newlineSum = (7)+(0)+(7)+(14)+(21)(-7) + (0) + (7) + (14) + (21)
  3. Perform Addition: Perform the addition to find the sum.\newlineSum = 7+0+7+14+21-7 + 0 + 7 + 14 + 21\newlineSum = 3535

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