Evaluate the Summation sum from n=2 to 7 of 2

Problem

(∑_n=2^7)(2)

Solution

1. Identify the type of summation. This is a sum of a constant value, c=2 over a specific range of integers.

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

N=7−2+1

N=6

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

(∑_n=a^b)(c)=c⋅(b−a+1)

4. Calculate the final value by multiplying the constant 2 by the 6 terms.

2⋅6=12

Final Answer

(∑_n=2^7)(2)=12

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