Solve the recurrence relation, Mathematics

Assignment Help:

Solve the recurrence relation

T (K) = 2T (K-1), T (0) = 1

Ans: The following equation can be written in the subsequent form: 

tn - 2tn-1 =  0 

Here now successively replacing n by (n - 1) and then by (n - 2) and so on we obtain a set of equations.

The method is continued till terminating condition. Add these equations in such type of a way that all intermediate terms get cancelled. The equation can be rearranged as 

1709_Solve the recurrence relation.png

Multiplying all the equations correspondingly by 20, 21, ..., 2n - 1 and then adding them together, we get

tn - 2nt0 = 0 

or,  tn = 2n


Related Discussions:- Solve the recurrence relation

If an item costs $1.45 to what amount will louise round, Louise is estimati...

Louise is estimating the cost of the groceries in her cart. She rounds the cost of every item to the nearest dollar to form her calculations. If an item costs $1.45, to what amount

Money, how do you add 1,ooo and 100?

how do you add 1,ooo and 100?

Find the sum of first 40 positive integers, Find the sum of first 40 positi...

Find the sum of first 40 positive integers divisible by 6 also find the sum of first 20 positive integers divisible by 5 or 6. Ans:          No's which are divisible by 6 are

Prove that 2b3-3abc+a2d=0, If  the  ratios  of  the  polynomial ax 3 +3bx...

If  the  ratios  of  the  polynomial ax 3 +3bx 2 +3cx+d  are  in  AP,  Prove  that  2b 3 -3abc+a 2 d=0 Ans: Let p(x) = ax 3 + 3bx 2 + 3cx + d and α , β , r are their three Z

Xy Algebra, Find the values of x and y

Find the values of x and y

Determine the derivative f ( x ) = 2 x2 -16x + 35, Determine the derivative...

Determine the derivative of the following function by using the definition of the derivative. f ( x ) = 2 x 2 -16x + 35 Solution Thus, all we actually have to do is to pl

What is the median of her scores, Jody's English quiz scores are 56, 93, 72...

Jody's English quiz scores are 56, 93, 72, 89, and 87. What is the median of her scores? To find out the median, first put the numbers in sequence from least to greatest. 56, 7

Bricklayer estimates 6.5 how many bricks will he required, A bricklayer est...

A bricklayer estimates that he requires 6.5 bricks per square foot. He needs to lay a patio that will be 110 square feet. How many bricks will he required? Multiply 6.5 by 110;

Addition and subtraction of rational expressions, Now come to addition and ...

Now come to addition and subtraction of rational expressions.  Following are the general formulas.  (a/c) + (b/c) = (a + b)/c

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd