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sum_(j=1)^(2)(5j)=

∑j=12(5j)= \sum_{j=1}^{2}(5 j)=

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Composition of linear and quadratic functions: find a valueright chevron icon

Full solution

Q. ∑j=12(5j)= \sum_{j=1}^{2}(5 j)=
  1. Problem Understanding: Understand the problem.\newlineWe need to calculate the sum of the sequence 5j5j where jj takes on the values from 11 to 22.
  2. Sequence Terms: Write out the terms of the sequence.\newlineThe sequence is 5j5j, so for j=1j=1, the term is 5(1)5(1), and for j=2j=2, the term is 5(2)5(2).
  3. Sum Calculation: Calculate the sum of the terms.\newlineThe sum is 5(1)+5(2)5(1) + 5(2).
  4. Term Calculations: Perform the calculations for each term.\newline5(1)=55(1) = 5 and 5(2)=105(2) = 10.
  5. Final Sum: Add the calculated terms together.\newline5+10=155 + 10 = 15.

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