rewrite
n
E 5i^3 / n^5
i=1
5/n^5 (1^3 + 2^3 + ... + n^3)
5-(5i-3i)+3=N
To rewrite the expression, we can start by expanding the summation notation. The expression is:
n ∑ (5i^3 / n^5)
where i ranges from 1 to n.
Now, let's simplify the expression step by step:
Step 1: Simplify the numerator and denominator.
The numerator 5i^3 cannot be simplified further.
The denominator n^5 is already in its simplest form.
Step 2: Rewrite the expression using summation notation.
Using the summation notation Σ, we can rewrite the expression as follows:
Σ (5i^3 / n^5) for i = 1 to n
Step 3: Evaluate the summation.
To evaluate the summation, simply substitute the values of i from 1 to n and add them up.
Here is how to calculate the value of the summation:
1. Start with sum = 0.
2. For each value of i from 1 to n, calculate 5i^3 / n^5 and add it to sum.
3. After looping through all the values of i, sum will contain the final result.
For example, if we have n = 5, the steps would be:
sum = 0
For i = 1:
Add (5 * 1^3) / 5^5 to sum.
For i = 2:
Add (5 * 2^3) / 5^5 to sum.
...
For i = 5:
Add (5 * 5^3) / 5^5 to sum.
Finally, the value of the summation will be stored in the variable "sum".