Are you familiar with induction?Originally Posted by Quick
If not another excellent thing for you to learn.
(But first you would have to answer the questions I gave you before we can procede to a new topic).
I followed TPH's advice and see what I got.
Let $\displaystyle S_n=n^2 + n +2$.
I divide the set of n in two parts:
One is of the form 7k-4 and second the rest.
For the first form, you can directly check by substituting the general form 7a-4 for n.
Now the second case.
We could see that $\displaystyle S_1, S_2,S_4,S_5,S_6,S_7$ also satisfy the given condition.
Now,$\displaystyle S_{7+k}=S_k + 7(7+2k+1)$
If you substitute the value of k=1,2,4,5,6,7 you get that $\displaystyle S_8.....S_{14}$ are not divisible by 7.
Continuing this , now you can substitute the value k=8,9,11,12,13,14 and you get the non-divisibility of next six(out of seven, one you have alredy proved) by 7.
In this way you can complete the proof by mathamatical induction.
Bye.
Even I was thinking the same.Originally Posted by Quick
It is fortunate that there is a computer centre in the college where I can aceess you mhf anytime. Whenever I find time from college studies(which I barely get), I try to visit MHF. Although, by mid october, I will have internet in the room.
Keep Smiling
Malay