Table of contents & cheatsheet (ALGEBRA)

with u₁ = a = 1^st term, d = common difference.

with u₁ = a = 1^st term, r = common ratio.

A shorthand to show the sum of a number of terms in a sequence.

log_a a^x = x

a^{log_a b} = b

Let a^x = b, isolate x from the exponent: log_a a^x = x = log_a b

Let log_a x = b, isolate x from the logarithm: a^{log_a x} = x = a^b

In an expansion of a binomial in the form (a + b)ⁿ . Each term can be described as ⁿC_ra^n−rb^r, where ⁿC_r is the coefficient.

The full expansion can be written thus

Find the coefficient using either pascals triangle

Or the nCr function on your calculator

IB