You can also say the sum of the odd number series is the sum of the whole number series minus the sum of the even number series.
i.e odd series = (n(n+1)/2) - ((n/2)((n/2)+1)
this also = n^2
You can see we use (n/2) for the even series because the first n even numbers is in the range of the first 2n whole numbers.
ivolol 1 year ago
That's a good way to look at it, too.
meepsmathmatters 1 year ago
Meep! I love all of your videos!!
rabbit4diesel 3 years ago
You can also say the sum of the odd number series is the sum of the whole number series minus the sum of the even number series.
i.e odd series = (n(n+1)/2) - ((n/2)((n/2)+1)
this also = n^2
You can see we use (n/2) for the even series because the first n even numbers is in the range of the first 2n whole numbers.
ivolol 1 year ago
That's a good way to look at it, too.
meepsmathmatters 1 year ago
Meep! I love all of your videos!!
rabbit4diesel 3 years ago