Sigma notations are used to represent the sum of numbers that follows a sequence
The value of the sigma notation is 530.
The expression is given as:
[tex]\mathbf{\sum\limits^{10}_{i =1}(i^2 + 3i - 2)}[/tex]
Substitution 1 to 10 for i
[tex]\mathbf{\sum\limits^{10}_{i =1}(i^2 + 3i - 2) =(1^2 + 3(1) - 2)+(2^2 + 3(2) - 2)+.................+(10^2 + 3(10) - 2)}[/tex]
Evaluate each term of the notation
[tex]\mathbf{\sum\limits^{10}_{i =1}(i^2 + 3i - 2) =2+8+16+26+38+52+68+86+106+128}[/tex]
Add all terms
[tex]\mathbf{\sum\limits^{10}_{i =1}(i^2 + 3i - 2) =530}[/tex]
Hence, the value of the sigma notation is 530.
Read more about sigma notations at:
https://brainly.com/question/23653677
