ok guys who is truly the smartest of all ec'ers figure out this pattern!! I need it for homwork an di just can't get it ! ok here is the pattern 0,3,8,15,24 _ _ _ Ok so i need to know the pattern and the way to get it!! Ok one way is to add odd numbers I already know that one i need another way!!!!!!! please help me!
0 "+3" 3 "+5" 8 "+7" 15 "+9" 24 "+11" 35 "+13" 48 "+15" 63 Starts with 3 then adds another 2 each step
The next number is 35. The nth term rule = n2-1 (ie n squared minus one). Does that make any sense to you? You can work this out by drawing a table with n across the top and the sequence below, then in the next row working out the difference between each number in the sequence (the differences are 3, 5, 7, 9 etc). Then draw another row in the table showing the differences between the differences - they are all 2. This tells you that the nth term is a quadratic, ie it involves n squared. Once you know this, it is evident that the full term must be n2-1. I hope that makes sense. I recommend that you ask your maths teacher about this though, because you need to make sure you really understand it. Feel free to ask for more explanation if all this has been gobbledegook.
lol this was our topic in math a while back earlier the start of the year. ahh, the terrible memories of this O_O it was sorta fun tho