Note: As per HOMEWORKLIB POLICY, I am allowed to answer only 1 question(including sub-parts)
on a single post, kingly post the remaining questions seperately and i will try to answer them
Sorry for the inconvenience caused, thank you
Problem 2. Find the closed formula for each of the following recurrence relations. 1. an =...
- Find the closed formula for each recurrence
relations (show a clear image pls)
1. an = 1.1an-1, do = 1 2. An = -an-1, 0o = 5 3. An = An-1 - 2, do = 4
5. Find the closed form solutions of the following recurrence
relations with given initial conditions. Use forward substitution
or backward substitution as described in Example 10 in the text.
(a) an = −an−1, a0 = 5 (b) an = an−1 + 3, a0 = 1 (c) an = an−1 − n,
a0 = 4 (d) an = 2nan−1, a0 = 3 (e) an = −an−1 + n − 1, a0 = 7
5. Find the closed form solutions of the...
6. Solve the following recurrence relations: (a) An+1 = 2 an , AO = 2 (b) n-1 An+1 =1+ ak , 0o = a1 = 1 ,n> 1 k=0
6. Solve the following recurrence relations: (a) An+1 ,00 = 2 (b) n-1 an+1 =1+ ak , 0o = a1 = 1 ,n> 1 k=0
(1 point) Find the solution to the following lhcc recurrence: lan-1 + 20an-2 for n > 2 with initial conditions do = 2, a1 = 5. The solution is of the form: an = An = ai(rı)” + az(r2)" for suitable constants Q1, Q2, r1, r2 with rı = r2. Find these constants. r2 = ri = a = A2 =
7. Find the solution of each of these recurrence relations with the given initial conditions. Use appropriate summation formulas to simplify your answers. a) an = (n + 1)an-1, ao = 5 The solution is: b) an=2an-1-3, a, = 5 c) an = An-1 + n-3, ao = 7
For each of the following problems write a recurrence relation
describing the running time of each of the following algorithms and
determine the asymptotic complexity of the function defined by the
recurrence relation. Justify your solution using substitution and
carefully computing lower and upper bounds for the sums. Simplify
and express your answer as Θ(n k ) or Θ(n k (log n)) wherever
possible. If the algorithm takes exponential time, then just give
exponential lower bounds.
5. func5 (A,n) /*...
could anyone help with these questions?
1. Find the general solution to each of the following recurrence relations (a) an+2 7ant1 +12an 2 (b) an+2 - 7an+1 +12a, -n22 (c) an+12an 2. To calculate the computational complerity_a measure for the maximal possible number of steps needed in a computation of the mergesort' algorithm (an algorithm for sorting natural numbers in non-decreasing order) one can proceed by solving the following recurrence relation: n -2 an-12" -1, with ao0 (a) Use the...
(1) Sok power series solution of the forma y(z)-Σ-oanz" to the differential equation: (a) (3 pts) Find recurrence relations for the coefficents, an (b) (4 pts) Use the recurrence relation to give the first three, n-zero terms of the power series solution to the initial value problem: y'-2xy = z, y(0) = 2 (c) (1 pt) Identify the solution as a common function (in closed form).
(1) Sok power series solution of the forma y(z)-Σ-oanz" to the differential equation: (a)...