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Something new? Hmmmmm.......ok
How about an easy function problem.
And then a harder sequence problem.
1. If f(x)=9x+1 and g(x)=x^2. Find all values of x which satisfie f[g(x)]=g[f(x)]
and ....
2. If p and q belong to positive integers such that p/q=1+1/2-2/3+1/4+1/5-2/6+1/7+1/8 ... +1/478+1/479-2/480. Prove p is divisible by 641.
1. 0
2....haven't looked at yet :D
Hey the answer is 0 or -1/4 for the first one. But what about the second?
Guys somebody get the second one? Alright bugz you can post your solution since nobody can do it!
no thanx
aiights
p/q= 1/1+1/2+1/3+......+1/480 - 3*1/3(1/1+1/2+....+1/160)
=1/161+1/162+....+1/480
=641/(161*480)+.....641/(...*....)
=641* N/Q
641 is the prime number so q<> 641 *k => p=641*N
...
nice job mmiill