Question

Express the sum using summation notation

Answer 1

The sum
`7 + (7^2)/(2) + (7^3)/(3) + ...... + (7^n)/(n)` using the summation notation is
`\text{S(n)} = \sum\limits^(n)_(i=1) {(7^i)/(i)`

Expressing the sum using summation notation

From the question, we have the following parameters that can be used in our computation:

`7 + (7^2)/(2) + (7^3)/(3) + ...... + (7^n)/(n)`

This expression can be represented as

`(7^1)/(1) + (7^2)/(2) + (7^3)/(3) + ...... + (7^n)/(n)`

Using the above as a guide, we have the following:

The n-th term of the sequence is

`\text{T(n)} = (7^n)/(n)`

So, the summation expression can be represented as

`\text{S(n)} = \sum\limits^(n)_(i=1) {(7^i)/(i)`

Where, i = 1 to n

Hence, the sum using the summation notation is
`\text{S(n)} = \sum\limits^(n)_(i=1) {(7^i)/(i)`