Sigma Notation Part 4

Let’s unpack our knowledge of Sigma notation a little further now.

In the previous step, we recapped our math experience of following the order of operations:

Parentheses
Exponents
Multiplication / Division
Addition / Subtraction

Using this example of the table of ages:

Let’s perform this operation:
(Sigma (2x^2))
(therefore Sigma (2x^2) = (2 times 30^2) + (2 times 21^2) +(2 times 59^2) + (2 times 45^2))
(therefore Sigma (2x^2) = (2 times 900) + (2 times 441) +(2 times 3 481) + (2 times 2 025))
(therefore Sigma (2x^2) = 1800 + 882 + 6962 + 4050)
(therefore Sigma (2x^2) = 13694)

Let’s try another example:
(Sigma ((2x)^2))
(therefore Sigma ((2x)^2) = ((2 times 30)^2) + ((2 times 21)^2) + ((2 times 59)^2) + ((2 times 45)^2))
(therefore Sigma ((2x)^2) = (60^2) + (42^2) + (118^2) + (90^2))
(therefore Sigma ((2x)^2) = 3600 + 1764 + 13924 + 8100)
(therefore Sigma ((2x)^2) = 27388)