Show that the coefficient of x^n in the series expansion (in ascending powers of x) of ln(1+qx^2+rx^3) is (-1)^n+1 Sn where Sn= (a^n+b^n+c^n)/n where n>1
Btw if it's getting too tough for anyone it's ok this is only for top maths students (If u get this question right I'll carry on because question not finished)
Show that the coefficient of x^n in the series expansion (in ascending powers of x) of ln(1+qx^2+rx^3) is (-1)^n+1 Sn where Sn= (a^n+b^n+c^n)/n where n>1
Btw if it's getting too tough for anyone it's ok this is only for top maths students (If u get this question right I'll carry on because question not finished)
Show that the coefficient of x^n in the series expansion (in ascending powers of x) of ln(1+qx^2+rx^3) is (-1)^n+1 Sn where Sn= (a^n+b^n+c^n)/n where n>1
Btw if it's getting too tough for anyone it's ok this is only for top maths students (If u get this question right I'll carry on because question not finished)
Well we know the quadratic can be factorised as above so you get a product of linear expressions inside the log function. Using log laws you can add these separately quite easily as you should remember the expansion of ln(1+x).
Show that the coefficient of x^n in the series expansion (in ascending powers of x) of ln(1+qx^2+rx^3) is (-1)^n+1 Sn where Sn= (a^n+b^n+c^n)/n where n>1
Btw if it's getting too tough for anyone it's ok this is only for top maths students (If u get this question right I'll carry on because question not finished)
I'm fairly sure you've just gotten this from a STEP question, in which case - work it out yourself instead of having people do it for you.
Well we know the quadratic can be factorised as above so you get a product of linear expressions inside the log function. Using log laws you can add these separately quite easily as you should remember the expansion of ln(1+x).
Give me a worked solution or just quit and tell me you're not top maths student if u do that I'll work it out for u
I'm at GCSE level at the moment. I don't like the look of having to learn this... ;(
Things often look difficult until you've studied them and practiced a fair amount. You might come across the first part in A-level maths and the second part in Further Maths.