Solve the following recurrence using the iteration technique. () T(1) = 1 T(n) = 4T + n

Solve recurrence with backward substitution. G(1) = 11 G(n) = 5 + G(n/2)

pnp/1344587/mod ution.pdf 150% Q4) Solve the following recurrences using the Master Theorem. If it is not possible to solve it using the Master theorem then use Backward Substitution. a. T(n) = 4T () +1 b. T(n) = 3T (). + log2 n T(n) = T () + logn C.

Time comp.

Solve and show each step using the Master Method Theorem.

1. Use the substitution method to verify that the upper bound solution to the recurrence: T(n) = 3T ([n/4])+(n²) is O(n²). Otherwise, if O(n²) is not the solution, find the correct solution to the above recurrence.

Solving the following Recurrences Using Induction Consider the recurrence tn=2tn-1 +1, n≥1 with initial condition t0=0.  Obtain the solution using the substitution method.

Expand the following recurrence to help you find a closed-form solution, and then use induction to prove your answer is correct. T(n) = √nT(√n) + n, for n>2; T(2) = 1.