Evaluate the Summation sum from i=1 to 4 of 6^(i-1)

Problem

(∑_i=1^4)(6(i−1))

Solution

1. Identify the terms of the summation by substituting the values of i from 1 to 4 into the expression 6(i−1)

2. Calculate the first term where i=1

6(1−1)=6=1

3. Calculate the second term where i=2

6(2−1)=6=6

4. Calculate the third term where i=3

6(3−1)=6=36

5. Calculate the fourth term where i=4

6(4−1)=6=216

6. Sum the calculated terms together:

1+6+36+216=259

Final Answer

(∑_i=1^4)(6(i−1))=259

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