Question

Write the sum using sigma notation: 123 +4+***+122= sum l ^ A B where

Answer 1

GIVEN

The sum is given to be:

`1+2+3+4+...+122=\sum_(n=1)^AB`

SOLUTION

The sigma notation for writing sums can be described as shown in the image below:

From the given information, each successive term of the sum increases by 1. This means that the formula for the terms will be:

`\Rightarrow n`

The last value of the sum is 122.

Therefore, the sigma notation will be:

`\Rightarrow\sum_(n=1)^(122)\:n`

Hence, the answers are:

`\begin{gathered} A=122 \\ B=n \end{gathered}`