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Blast into Math! Mathematical perspectives: all aour mase are melong to us
Well this isn’t quite what we want, or at least it doesn’t look like what we want. The terms in
the Binomial Formula for (a + b) n+1 are
(n +1)!
j n+1−j
a b .
j!(n +1 − j)!
We have
(n +1)!
b
a k+1 n−k .
(k +1)!(n − k)!
Since the power of a is k +1, let’s call j = k +1 and re-write this in terms of j :
(n +1)!
j n−j+1
a b .
j!(n − j +1)!
Now it’s time to put it all together…If you’re still struggling, you could always go search online
for information about “The Binomial Theorem.” That is one benefit of theorems with names:
it’s easier to find information about them using the internet.
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