Resources tagged with: Binomial theorem
There are 12 NRICH Mathematical resources connected to Binomial theorem, you may find related items under Algebraic expressions, equations and formulae.
Broad Topics > Algebraic expressions, equations and formulae > Binomial theorem
Tens
When is 7^n + 3^n a multiple of 10? Can you prove the result by two different methods?
Discrete Trends
Find the maximum value of n to the power 1/n and prove that it is a maximum.
Binomial
By considering powers of (1+x), show that the sum of the squares of the binomial coefficients from 0 to n is 2nCn
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}.
Binomial Coefficients
An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.
The Harmonic Triangle and Pascal's Triangle
The harmonic triangle is built from fractions with unit numerators using a rule very similar to Pascal's triangle.
The Kth Sum of N Numbers
Yatir from Israel describes his method for summing a series of triangle numbers.
Remainder Hunt
What are the possible remainders when the 100-th power of an integer is divided by 125?
Growing
Which is larger: (a) 1.000001^{1000000} or 2? (b) 100^{300} or 300! (i.e.factorial 300)