Evaluate: sum_(n=2)^(6)(nx+3) Answer: Submit Answer

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Evaluate:  sum_(n=2)^(6)(nx+3) Answer: Submit Answer

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Understand summation notation: Understand the summation notation. The expression sum_(n=2)^(6)(nx+3) means we need to evaluate (nx+3) for each integer value of n from 2 to 6 and then sum the results.Evaluate expression for n=2: Evaluate the expression for n=2. Substitute n=2 into the expression (nx+3) to get (2x+3).Evaluate expression for n=3: Evaluate the expression for n=3. Substitute n=3 into the expression (nx+3) to get (3x+3).Evaluate expression for n=4: Evaluate the expression for n=4. Substitute n=4 into the expression (nx+3) to get (4x+3).Evaluate expression for n=5: Evaluate the expression for n=5. Substitute n=5 into the expression (nx+3) to get (5x+3).Evaluate expression for n=6: Evaluate the expression for n=6. Substitute n=6 into the expression (nx+3) to get (6x+3).Add evaluated expressions: Add all the evaluated expressions together. Sum the results from steps 2 to 6: (2x+3) + (3x+3) + (4x+3) + (5x+3) + (6x+3).Combine like terms: Combine like terms. Add all the x terms together and all the constant terms together: (2x + 3x + 4x + 5x + 6x) + (3 + 3 + 3 + 3 + 3).Perform addition: Perform the addition. Calculate the sum of the x terms: 2x + 3x + 4x + 5x + 6x = 20x. Calculate the sum of the constant terms: 3 + 3 + 3 + 3 + 3 = 15.Write final expression: Write the final expression. Combine the results from step 9 to get the final answer: 20x + 15.

Evaluate: $\newline$ $\sum_{n=2}^{6}(n x+3)$ $\newline$ Answer: $\newline$ Submit Answer

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Evaluate: $\newline$ $\sum_{n=2}^{6}(n x+3)$ $\newline$ Answer: $\newline$ Submit Answer