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Revision Pack Test Series

AA HL / Exponents and logarithms

Exponents and logarithms

Index laws, log laws, and equations that need a change of base.

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Unit formula summary

Arithmetic sum

\(S_n = \frac{n}{2}\left[2a+(n-1)d\right]\)
Arithmetic term

\(u_n = a + (n-1)d\)
Binomial coefficient

\(\binom{n}{r} = \frac{n!}{r!(n-r)!}\)
Geometric term

\(u_n = ar^{n-1}\)
Modulus

\(|a+bi| = \sqrt{a^2+b^2}\)
Sum to infinity

\(S_\infty = \frac{a}{1-r},\ |r|<1\)

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