find the indicated sum
4 on top of sigma symbol
i=1 on the bottom of sigma symbol
3^i on the right side
please help me figure this out
1 3
2 9
3 27
4 81
------
120
can you break this down, I am having a hard time understanding this concept?
To find the indicated sum, we need to evaluate the expression using sigma notation.
In this case, the sigma symbol (∑) indicates a summation, and the variable i represents the index of the summation. The expression to the right of the sigma symbol, 3^i, represents the terms to be summed.
The notation indicates that we need to start with i=1 and continue until i=4. Let's evaluate the expression step by step:
When i=1, we have 3^1 = 3.
When i=2, we have 3^2 = 9.
When i=3, we have 3^3 = 27.
When i=4, we have 3^4 = 81.
To find the sum of these terms, we add them together:
3 + 9 + 27 + 81 = 120.
Therefore, the indicated sum is 120.