Solve 8c Stamp Problem with Recurrence Relation

Punkyc7
Messages
415
Reaction score
0
Use a recurrence relation to find the number of ways that stamps that have a value of 1 cent , 2 cents and a 3 cents can add up to eight cents.

How exactly do you go about solving a problem like this without writing a program to find all the possibilities?

The answer given is 81, but I have know Idea how to get it.
 
Physics news on Phys.org
How would you interpret the coefficient of x^8 in the expansion of (x+x^2+x^3)^n?

RGV
 
Would that be the number of times a certain combination happens?
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

How can the recurrence formula for a sequence be found?
Replies
3
Views
1K
How to find upper bound for recurrence relation
Replies
1
Views
2K
Differential Equation - Series - Recurrence Relation
Replies
2
Views
2K
How Do You Find a Recurrence Relation for a Power Series Solution of an ODE?
Replies
8
Views
2K
Solve the recurrence relation using iteration
Replies
7
Views
2K
What is the recurrence relation for strictly increasing sequences from 1 to n?
Replies
3
Views
2K
Recurrence relations with rabbits pairs
Replies
8
Views
3K
Nonhomogeneous recurrence relations
Replies
1
Views
1K
Solving Recurrence Relations in Matlab: A Homework Challenge
Replies
9
Views
5K
MHB Dynamic programming: which recurrence relation do we use?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top