Math Problem Statement

it is the same exercise. Which is the correct answer

Which is the correct answer for the summation problem provided?

Solution

The exercise shown involves summation notation, and I can guide you through solving it.

For the first problem, the summation notation is:

n=04(3n7)\sum_{n=0}^{4} (3n - 7)

This means you need to substitute values for nn starting from 0 to 4, calculate the expression for each nn, and then add them together:

  1. When n=0n = 0: 3(0)7=73(0) - 7 = -7
  2. When n=1n = 1: 3(1)7=43(1) - 7 = -4
  3. When n=2n = 2: 3(2)7=13(2) - 7 = -1
  4. When n=3n = 3: 3(3)7=23(3) - 7 = 2
  5. When n=4n = 4: 3(4)7=53(4) - 7 = 5

Now, add the results:

7+(4)+(1)+2+5=741+2+5=5-7 + (-4) + (-1) + 2 + 5 = -7 - 4 - 1 + 2 + 5 = -5

So, the correct answer to this question is -5.

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Math Problem Analysis

Mathematical Concepts

Summation Notation
Arithmetic Series
Series Calculations

Formulas

Sum of Arithmetic Series: Σ (expression)

Theorems

Summation Notation Theorem

Suitable Grade Level

Grades 9-11