Give an example of Partial sums method.
Having no idea what you meant by that, I googled "partial sums method" and found this:
http://www.cheney268.com/Math/Math%201/Elementary%20School/Computational%20Strategies/PartialSumsMethod.htm
I sure hope they don't teach you that !!!!
Ahh -- the New, New Math! Someone has worked hard to make a simple process complicated!
My bet is we are looking at that
"Everyday Mathematics" again.
The partial sums method is a technique used to find the sum of a series by adding up the terms progressively. Let me explain it with an example:
Example: Find the sum of the series 1 + 2 + 3 + 4 + 5 + ... + 10.
To use the partial sums method, we start by writing down the terms of the series and adding them up one by one. Here's how it works:
Step 1: Write down the series: 1 + 2 + 3 + 4 + 5 + ... + 10.
Step 2: Start adding up the terms:
- First, add the first term: 1.
- Then, add the second term to the sum: 1 + 2 = 3.
- Next, add the third term to the sum: 3 + 3 = 6.
- Continue this process until you have added up all the terms.
Step 3: Find the final sum: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55.
So, the sum of the series 1 + 2 + 3 + 4 + 5 + ... + 10 is 55.
The partial sums method works by breaking down the series into smaller parts and progressively adding them up. This technique is useful when dealing with arithmetic series or series with a pattern, as it allows you to find the sum without explicitly adding every single term.