Exercises on Sequences

A sequence is a function with the domain being the natural numbers .

A sequence can be written like this a₀, a₂, a₂,... or like this

Recurrence equations

A geometric progression can be defined in different ways. Consider the infinite geometric progression

You can describe the geometric progression in two ways.

A recurrence equation

An explicit formula

Exercises

Use QtOctave to find the limit as of following sequences. Type format long to show more decimals. Try different initial values c, do you get different limits?

Try to explain your answers. If you fail, do the exercises on fixpoints.