Evaluate the Summation sum from 1 to 110 of 11

Problem

(∑_i=1^110)(11)

Solution

1. Identify the type of summation. This is the sum of a constant value, c=11 repeated for a specific number of terms.

2. Determine the number of terms in the sequence. Since the index i goes from 1 to n=110 there are 110 terms.

3. Apply the formula for the sum of a constant, which states that (∑_i=1^n)(c)=n⋅c

4. Calculate the product by substituting n=110 and c=11

110⋅11=1210

Final Answer

(∑_i=1^110)(11)=1210

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