Question

Explain why it would be difficult to write the sum $\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+\frac{1}{11}+\frac{1}{12}+\frac{1}{13}$ in sigma notation.

Short answer

It difficult to write the sum in sigma notation. Because we can't find any pattern to write it in sigma notation.

Step-by-step solution

Step 1. Given Information:

Given sum: $\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+\frac{1}{11}+\frac{1}{12}+\frac{1}{13}$

We want to explain why it would be difficult to write the sum in sigma notation.

Step 2. Solution:

We know that the sigma notation is used to write a sum only when the terms of the sum follow a pattern.

But in given sum $\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+\frac{1}{11}+\frac{1}{12}+\frac{1}{13}$it would be difficult to write the sum in sigma notation.

Because we can't find any pattern to write it in sigma notation.