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sum_(x=0)^(2)(x+5)=

x=02(x+5)= \sum_{x=0}^{2}(x+5)=

Full solution

Q. x=02(x+5)= \sum_{x=0}^{2}(x+5)=
  1. Problem Understanding: Understand the problem.\newlineWe need to calculate the sum of the expression (x+5)(x+5) for each integer value of xx starting from 00 up to 22.
  2. Step 11: Calculate sum for x=0x=0: Calculate the sum for x=0x=0. Substitute xx with 00 in the expression (x+5)(x+5). Sum for x=0x=0: (0+5)=5(0+5) = 5
  3. Step 22: Calculate sum for x=1x=1: Calculate the sum for x=1x=1. Substitute xx with 11 in the expression (x+5)(x+5). Sum for x=1x=1: (1+5)=6(1+5) = 6
  4. Step 33: Calculate sum for x=2x=2: Calculate the sum for x=2x=2. Substitute xx with 22 in the expression (x+5)(x+5). Sum for x=2x=2: (2+5)=7(2+5) = 7
  5. Step 44: Add the sums: Add the sums from steps 22, 33, and 44.\newlineTotal sum: 5+6+75 + 6 + 7\newlineTotal sum: 1818

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