To do this question it is easier to work backwards from the qanswers.
Take the first answer.
\(\displaystyle\sum_{j=1}^7 \frac{1}{2}(j+1)\\ When\;\; j=1\quad \text{The first term is }\quad \frac{1}{2}(1+1)=1 \quad \text {that is good}\\ When \;\; j=2\quad \text{The second term is }\quad \frac{1}{2}(2+1)=\frac{3}{2}= \quad \text {that is no good}\\\)
So it is not the first one.
If you think about it, the bottom of the fractions are \(2^0,2^1,2^2,....\) and the top is just 1. So the bottom is a power of 2.
Which out of the 4 seems likely?
Test that one, like I tested the first one, and see if it works.
So what is the answer?
Please no one answer over me.