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Is This Equation solvable , For T(r) Which is the r'th term

T(r+1) = k.T(r) + c; If solving is possible, please help with the Method.. Thanks!

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If you assume $T_0=a$, apply the formula for the first values of $r$ to see a pattern.

You should get $$\left( \begin{array}{cc} r & T_r \\ 0 & a \\ 1 & a k+c \\ 2 & a k^2+c k+c \\ 3 & a k^3+c k^2+c k+c \\ 4 & a k^4+c k^3+c k^2+c k+c \\ 5 & a k^5+c k^4+c k^3+c k^2+c k+c \end{array} \right)$$ Do you see it ?

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  • $\begingroup$ Yes!, Thanks A Lot! $\endgroup$ – Sidharth Giri Sep 21 '17 at 5:33

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