Questions: Enter the value of ∑ from n=3 to 5 of (n+2)
Transcript text: Enter the value of $\sum_{n=3}^{5} n+2$
Solution
Solution Steps
To solve the given summation, we need to evaluate the expression \( n+2 \) for each integer \( n \) from 3 to 5 and then sum the results.
Step 1: Define the Summation Range
The summation is defined for \( n \) ranging from 3 to 5. We need to evaluate the expression \( n+2 \) for each integer value of \( n \) within this range.
Step 2: Evaluate the Expression for Each \( n \)
Calculate \( n+2 \) for each \( n \):
For \( n = 3 \), \( n+2 = 5 \)
For \( n = 4 \), \( n+2 = 6 \)
For \( n = 5 \), \( n+2 = 7 \)
Step 3: Sum the Results
Add the results from the previous step:
\[
5 + 6 + 7 = 18
\]