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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