Solution to De Moivre's Theorem w/ q=E(Φ)

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Homework Statement



Find what the following formula yields if we substitute q= E(Φ)

the formula is:1+2q+3q^2+...+nq^n-1=(1-(n+1)q^n+nq^n+1)/(1-q^2)



Homework Equations





The Attempt at a Solution



i substituted Φ in for q:

1+2E( Φ)+3E( Φ)^2+...+nE( Φ)^n-1= (1-(n+1)E( Φ)^n +nE( Φ)^n+1)/(1-E( Φ)^2)

now I'm not sure where to go next
 
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