Sums of Natural Numbers
What are the natural numbers??
$1, 2, 3, 4, 5, 6\ldots$
What are the whole numbers??
$0, 1, 2, 3, 4, 5, 6\ldots$
What’s another name for the sum of the first $n$ natural numbers??
The triangle numbers.
How can you visualise the sum of the first $n$ natural numbers??
As a triangle.
How can you visualise the sum of the first $n$ natural numbers, doubled??
As a $n \times (n+1)$ square.
What are the first 3 triangle numbers??
$1, 3, 6$
What is the formula for the sum of the first $n$ natural numbers??
$\frac{1}{2} n(n+1)$
What’s the sigma notation for the sum of the first $n$ natural numbers??
$$ \sum^{n}_{r=1} r $$
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date: 2020-09-14 10:38
page: 44
tags:
- '@?further-maths'
- '@?series'
- '@?school'
- '@?public'
textbook: pfmy1
title: Further Maths - Sums of Natural Numbers