Question

Use sigma notation to write the sum. \[ \begin{array}{r} {\left[7\left(6+\frac{4}{n}\right)^{8}\right]\left(\frac{4}{n}\right)+\cdots+\left[7\left(6+\frac{4 n}{n}\right)^{8}\right]\left(\frac{4}{n}\ri

Answer 1

ght)} \end{array} \]

Here's step-by-step of the solution:

1. Initialize a variable sum_values equal to zero. This will be used to keep a running total of the sum of each term in the series.

2. Start a loop that runs n times. The values of the iterator in this loop (which we'll call i) will be used to calculate each term in the series.

3. Within that loop, calculate the value of the i-th term in the series. The formula for each term is 7 * (6 + 4i/n) ^ 8 * (4/n). Plug in the current value of i and calculate the term.

4. Add the value of the i-th term to sum_values.

5. Continue steps 3-4 for all values of i from 1 to n.

6. After the loop, sum_values will hold the sum of all terms in the series.

Remember, the number n should be passed to the function when calling it. For example, to calculate the sum of the series up to the 4th term, call the function like this:
```python
print(solution(4))
```

This will print the sum up to the 4th term. To find sums up to other terms, change 4 to the desired term.

This function uses sigma notation to calculate the sum of a series of numbers. It's important to know what each part of the formula means to understand how the function works. This function can be used to calculate the sum of any series that follows the same formula by changing the formula inside the loop.