Question

Write the given partial sum in sigma notation: -6.9 + 1.9 + 10.7 + 19.5 + 28.3.

Answer 1

The given partial sum -6.9 + 1.9 + 10.7 + 19.5 + 28.3 can be written in sigma notation as Σn=1 to 5 (5n - 12).

Step-by-step explanation:

The given partial sum -6.9 + 1.9 + 10.7 + 19.5 + 28.3 can be written in sigma notation as:

Σn=1 to 5 (5n - 12)

Let's break down the steps to get to this notation:

1. First, we need to identify the pattern in the given sum. Here, the pattern is that each term is obtained by multiplying the position of the term by 5 and then subtracting 12.
2. The sigma symbol Σ represents the sum in sigma notation. The subscript n=1 indicates that the sum starts from the first term.
3. The superscript 5 indicates that the sum goes up to the fifth term.
4. The expression inside the sigma notation, (5n - 12), represents the pattern for each term.