Very strange math sequence question?

Hi all

We have this question to complete in our math module for a software engineering degree. I do not understand how to solve this induction question, as its using the variables a and b, instead of it equaling a numeric value. Any ideas on how to solve this would be most appreciated.

Thank you.

Hi all

We have this question to complete in our math module for a software engineering degree. I do not understand how to solve this induction question, as its using the variables a and b, instead of it equaling a numeric value. Any ideas on how to solve this would be most appreciated.

This has nothing to do with Induction.
Substitute in the initial values:
x2 = (1 + x1)/x0 = (1 + b)/a then find x3 etc

Thank you.

I was looking at the previous question when I created this thread! That had to do with induction.

Just treat $a,b$ as some constants.

Then $x_2 = \dfrac{1+x_1}{x_0} = \dfrac{1+b}{a}$

Then $x_3 = \dfrac{1+x_2}{x_1} = \dfrac{1+\frac{1+b}{a}}{b} = \dfrac{a+b+1}{ab}$

and so on until you get $x_{10}$

Hi

If I understrand correctly, X₄ = (ab + a + b + 1)/ (b(b + 1))?

Hi

If I understrand correctly, X₄ = (ab + a + b + 1)/ (b(b + 1))?

Just wanted to make sure I am doing it correctly.

Can you factorize the numerator & cancel anything?