Friday, 5 November 2010

Buses

I was rather impressed at my 'not having to run for the bus' this morning. I was 5 minutes earlier than normal, and this was impressive for me. All goes smoothly, and we arrive at college just short of 15 minutes before my first lecture :)
Generally a "meh" sort of day. I felt in a bad mood although I have no explanation for this: my lessons went well.
5.15pm and I cross to the bus stop across the road from college missing the bus by 3 minutes and having to wait another 7. This bus is usually a roulette to get on as the single decker buses are not big enough to fit 50 students and the other members of the public. From this experience I deduct: students don't queue! So today it was oddly quiet, a mere 6 of us got on the bus to town. I was stupid to think this was a good sign! Trapped in evening traffic I pondered whether it would have been quicker to walk this 10 minute bus journey. I arrive at the station where I was due to catch another bus. The queue stretched half the length of the bus station and I then discovered the bus was going to be 15 minutes: another wait in the misty not quite rainy sort of rain. Finally boarding the bus, I am sat with a child and a young dad fighting with umbrellas drumming it into me how soggy I was :(
I hate dark bus journeys, there is nothing to look at but black.
To top of my disasterous bus experience every one had to get off 4 stops before mine as the headlight had blown. Oh joy, another misty rainy walk with loads of college stuff.
As you may have gathered I am in a ranting mood and not at all in the mood to question happy numbers. Thank goodness its the weekend tomorrow!

Oh yes, and I forgot to renew my bus pass so I'm gonna have to pay monday morning :@

Thursday, 4 November 2010

My First Blog- Happy Numbers

So today I discovered 'happy numbers'; well I thought I did. My maths teacher told me that happy numbers were those which when you added the digits, and kept doing so until you had one digit the final number would be one. eg. 109=1+0+9=10
                   =1+0= 1   :)

This got my excited, my reaction: 'aww thats soooo cute'. So in out 5 minute break in the lesson I tried to figure out the nth term for the sequence of happy numbers (1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100):

difference is 9 therefore: 9n
so the second term 9*2=18 which doesn't work, so we have to take away 8.
So the nth term is 9n-8.

I decided I might have a look on google to see what others had discovered with these cute little happy numbers. I find this: http://en.wikipedia.org/wiki/Happy_number.
This tells us that a happy number is the square of each digit added together thus:
72 = 49
42 + 92 = 97
92 + 72 = 130
12 + 32 + 02 = 10
12 + 02 = 1.

This somehow does not satisfy me as much :(
Life is like this situation: its great until someone tells you your wrong.

My bubble has burst, lets wait and see whether I find something enjoyable in Math tomorrow, I do hope so!