(1) Use Mathematical induction to show that 5^(2n)-4^(2n)-3^(2n) is a multiple of 48 for all integers n>=1.
(2) Prove that n>=2 lines, no two of which are parallel and no three of which are concurrent have (n(n-1))/2 points of intersections.
Don't Forget – 'Earth Hour' Happens Next Week - News and Analysis by PC Magazine
Earth hour is meant to be held next week, but i don't see the point.
As was explained to me by some1.
Earth hour i think is completely a useless waste of time.
We don't actually save any energy, every1 thinks we...
i see where i went wrong i just make some really stupid mistakes so ended up goin really bad for me.
first attempt i let u = x^-n
that went horrible i ended up with 2 pages for workin out and no answer
Difficult:
Suppose θ, Φ doesnt = pie/2(2k+1) where k is an integer, use the fact that
z = (1+z)/(1+z^-1) to:
(a) find the real and imaginery parts of (1+cos2θ+isin2θ)/(1+cos2θ-isin2θ).
(b) show that if n is a positive integer then
[(1+sinΦ+isinΦ)/(1+sinΦ-icosΦ)]^n = cosn(pie/2-Φ)+isin...
Find all the roots of z^5+1=0?
i cant seem to get it to work.
(b) if w is the root with the least positive argument show that the roots are -1,w,-w^2,w^3 and -w^4.