In mathematics:
“Summation is the addition procedure of any numbers referred to as the summands or addends that bring about the sum or overall”
The collection is the series that defines the mathematical operation "+".
The simple sigma equation is as follows:
\(\sum_{n=1}^n x_i = x_1 + x_2 + x_3 + … + x_n\)
Where:
when you have a given expression within the sigma notation under: \(\sum_{n=3}^7 x_{i}^3\) you can evaluate summation by expanding the sigma notation, which can be executed as follows:
Step # 1:
Write down the lower and upper limits
Step #02:
Now write the original function inside the summation notation
\(\sum_{n=3}^7 x_{i}^3 = x_{3}^3 + x_{4}^3 + x_{5}^3 + x_{6}^3 + x_{7}^3\)
Step # 3:
input the actual values
\(\sum_{n=3}^7 x_{i}^3 = 3^3 + 4^3 + 5^3 + 6^3 + 7^3\)
Step # 4:
Remedy to the maximum simple sigma notation
\(\sum_{n=3}^7 x_{i}^3 = 3^3 + 4^3 + 5^3 + 6^3 + 7^3\)
\(\sum_{n=3}^7 x_{i}^3 = 27 + 64 + 125 + 216 + 343\)
\(\sum_{n=3}^7 x_{i}^3 = 775\)
Summation is of sorts that encompass:
2+3+4+5+65+6+6=91
Description:
easy summation represents a easy mathematics sum of numbers.
\(\sum_{i=0}^{n} [f\left(x\right)]\)
Description:
This method is extended to evaluate the very last sum. We should begin from the Index (lower limit) and terminate at the Endpoint (higher limit).
