Skip over navigation
Consider powers of $1 + x$.
If you can't get started investigate the formula for $n = 2, 3,4 ...$
Binomial
Age 16 to 18
Challenge Level 
Consider powers of $1 + x$.
If you can't get started investigate the formula for $n = 2, 3,4 ...$
You may also like
Telescoping Series
Find $S_r = 1^r + 2^r + 3^r + ... + n^r$ where r is any fixed positive integer in terms of $S_1, S_2, ... S_{r-1}$.
Remainder Hunt
What are the possible remainders when the 100-th power of an integer is divided by 125?