Evaluate the Summation sum from k=1 to 50 of 8

Problem

(∑_k=1^50)(8)

Solution

1. Identify the type of summation. This is a sum of a constant value, c=8 over a range of indices from k=1 to n=50

2. Apply the formula for the sum of a constant. The formula is (∑_k=1^n)(c)=n⋅c

3. Substitute the given values into the formula. Here, n=50 and c=8

4. Calculate the product of the number of terms and the constant value.

50⋅8=400

Final Answer

(∑_k=1^50)(8)=400

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