(a) Show that, for any positive integer n. R-2 n-l n² + 3n 2n =an(n-1) - ¹) (-) + n()** for some a, 3 > 0. Give the values of a and 3. Hint: solve the above equation for a and 3, your answers should be positive numbers. (b) Find the sum the series n²+3n 2n n=0 Hint: consider using derivatives of the geometric series and part (a).

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