What modules have you done before?

C1, C2, C3, C4

D1

FP1, FP2, FP3

M1, M2

S1, S2

Related Further Mathematics A Level answers

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A complex number z has argument θ and modulus 1. Show that (z^n)-(z^-n)=2iSin(nθ).


The infinite series C and S are defined C = a*cos(x) + a^2*cos(2x) + a^3*cos(3x) + ..., and S = a*sin(x) + a^2*sin(2x) + a^3*sin(3x) + ... where a is a real number and |a| < 1. By considering C+iS, show that S = a*sin(x)/(1 - 2a*cos(x) + a^2), and find C.


A=[5k,3k-1;-3,k+1] where k is a real constant. Given that A is singular, find all the possible values of k.


prove by induction that, f(n) = 2^(3n+1) + 3(5^(2n+1)) is divisible by 17 for all n>0.


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