Forgive the total beginner question, it's been a few years since I needed to do this stuff.
What is the expansion of $(1 + x)^n$?
Forgive the total beginner question, it's been a few years since I needed to do this stuff.
What is the expansion of $(1 + x)^n$?
$$1 + n$$
$$1 + 2n + n^2$$
$$1 + 3n + 3n^2 + n^3$$
$$1 + 4n + 6n^2 + 4n^3 + n^4$$
$$1 + 5n + 10n^2 + 10n^3 + 5n^4 + n^5$$
$$1 + 6n + 15n^2 + 20n^3 + 15n^4 + 6n^5 + n^6$$
See if you can spot a pattern!