Help with Transforming Equation

[fonixbob]

Given that,

C(n+1) = (1+r)[C(n) - (1+i)^n * S]

How can I prove that:

C(n) = (1+r)^n [ Co - ((1+r)/(r-i))* S] + ((1+r)/(r-i))*(1+i)^n * S


I get really confused with the exponents

 

[Deleted member 4993]

Given that,

C(n+1) = (1+r)[C(n) - (1+i)^n * S]

How can I prove that:

C(n) = (1+r)^n [ Co - ((1+r)/(r-i))* S] + ((1+r)/(r-i))*(1+i)^n * S


I get really confused with the exponents

Are you writing a recursive relation like:

\(\displaystyle C_{n+1} \ = \ (1+r)[C_n - (1+i)^n *S]\)

please define r, i and S.