# Resources tagged with: Recurrence relations

Filter by: Content type:
Age range:
Challenge level:

There are 6 NRICH Mathematical resources connected to Recurrence relations, you may find related items under Patterns, Sequences and Structure.

Broad Topics > Patterns, Sequences and Structure > Recurrence relations ### Production Equation

##### Age 16 to 18Challenge Level

Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space? ### And So on - and on -and On

##### Age 16 to 18Challenge Level

Can you find the value of this function involving algebraic fractions for x=2000? ### Poly Fibs

##### Age 16 to 18Challenge Level

A sequence of polynomials starts 0, 1 and each poly is given by combining the two polys in the sequence just before it. Investigate and prove results about the roots of the polys. ### 2^n -n Numbers

##### Age 16 to 18

Yatir from Israel wrote this article on numbers that can be written as $2^n-n$ where n is a positive integer. ### Loopy

##### Age 14 to 16Challenge Level

Investigate sequences given by $a_n = \frac{1+a_{n-1}}{a_{n-2}}$ for different choices of the first two terms. Make a conjecture about the behaviour of these sequences. Can you prove your conjecture? ### Golden Powers

##### Age 16 to 18Challenge Level

You add 1 to the golden ratio to get its square. How do you find higher powers?