# Randomised Recurrence Given the following recurrence relations, derive their closed forms by drawing

Randomised Recurrence Given the following recurrence relations, derive their closed forms by drawing
Randomised Recurrence Given the following recurrence relations, derive their closed forms by drawing a recursion tree and/or using algebraic manipulation, and then enter your closed forms in the corresponding textboxes below. [1, for n = 0 R(n) = R(n − 1) + 10c, for n > 1,CEN = R(n) = 10*c*n +1 ? S(n) = ſ12, for n=1 11S(n − 1) + 12n, for n > 1 S(n) symbolic expression T(n) = S2, for n = 1 110T(n/10) + 2n, for n > 1 = T(n) = – symbolic expression Notes: • You may assume that n is a power of 10. • To specify log (n), use log(n,b) • You may find it helpful to remind yourself how to compute the sum of a geometric series. (n-1)an+1-na” ta • You may find it helpful to know that m=) kak k0 (a-1) (Of course, that equation may not be in the form you need, even if it is useful!)   May 04 2022 09:54 AM

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