Answer:
-33
Explanation:
Sigma notation is a mathematical notation used to represent the sum of a series of terms. It provides a concise way to express the total of a sequence of numbers or mathematical expressions.
Sigma notation

where:
- n is the summation index.
- b is the first value of n.
- k is the last value of n.
- aₙ is the formula for each term.
Given sigma notation:

Therefore:
- n is the summation index.
- n = 8 is the first value of n.
- n = 15 is the last value of n.
- (n/4 - 7) is the formula for the terms.
To calculate the sum of the given sigma notation, we can substitute the values of n from 8 to 15 into the term formula and add them up:

There are 8 terms. Each term subtracts 7 from the fraction n/4.
Therefore:

So, the sum is:
