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

theoretical minimum number of stations, A company is setting up an assembl...

A company is setting up an assembly line to produce 100 units/hour. The table shown below identifies the work elements, times, and immediate predecessors. a)      What cycle tim

#title., fixed cost of $1400 ,printing cost of .40 cents -each item to sell...

fixed cost of $1400 ,printing cost of .40 cents -each item to sell for $1.05. what is linear cost function, linear revenue function and number of items to be sold to make a profit

External division of section formula, give me the derivation of external di...

give me the derivation of external division of sectional formula using vectors

Book 6b, one bathroom is 0.3m long how long is a row of 8 tiles

one bathroom is 0.3m long how long is a row of 8 tiles

Proportions, bananas are on sale for 3 pounds for $2. At that price how man...

bananas are on sale for 3 pounds for $2. At that price how many pounds can you buy for $22

Find out the value of n element of a set, A set consists of (2n+1) elements...

A set consists of (2n+1) elements. If the number of subsets of this set which consist of at most n elements is 8192. Find out the value of n. Ans: The following set has (2n + 1

Precal, The law of cosines can only be applied to acute triangles. Is this ...

The law of cosines can only be applied to acute triangles. Is this true or false?

Dividing mixed numbers, Dividing Mixed Numbers Dividing mixed numbers i...

Dividing Mixed Numbers Dividing mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions. 2. Divide the fractions 3. Convert the result ba

Solving a quadratic equation, In polynomials you have seen expressi...

In polynomials you have seen expressions of the form x 2 + 3x - 4. Also we know that when an expression is equated to zero or some other expression, we cal

Homework, Euler''''s Constant (e) Approximate the number to the one hundred...

Euler''''s Constant (e) Approximate the number to the one hundredth, one ten-thousandths, and one one-hundred-millionth.

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