Evaluate the Summation sum from k=5 to 26 of 4

Problem

(∑_k=5^26)(4)

Solution

1. Identify the type of summation. This is the sum of a constant value, c=4 over a specific range of integers.

2. Determine the number of terms in the sequence. The number of terms is calculated by subtracting the lower limit from the upper limit and adding 1.

n=26−5+1

3. Calculate the total number of terms.

n=22

4. Apply the formula for the sum of a constant, which is the constant multiplied by the number of terms.

Sum=c⋅n

Sum=4⋅22

5. Multiply the values to find the final result.

Sum=88

Final Answer

(∑_k=5^26)(4)=88

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