Question 11166: hello, my name is shavon and i was on this site because i need help with algebra. It is called patterns and linear functions see i dont get it becaus the tile is called finding the 10th term here is an example.
term numbers 1, 2, 3, 4, ... 10 ...
sequence 3, 5, 7, 9,... empty box ...
so do you thonk you can help me
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! you have
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
and
3, 5, 7, 9, ............... ?
well, you can work them all out, as follows:
3, 5, 7, 9, 11, 13, 15, 17, 19, 21
so answer is 21
or you can find the "pattern" or the "equation" of this sequence.
Look at the 3, 5, 7, 9 etc.. it is just the 2 times table, yes? moved a bit... the DIFFERENCE between the numbers is 2.
So, calling the top line of numbers n, the bottom line of numbers is defined as 2n. But hang on, 2n gives the wrong answers, as shown here:
n = 1, 2, 3, 4,...
2n= 2, 4, 6, 8,...
we want
? = 3, 5, 7, 9,...
so, basically we just need to add 1, giving 2n+1. This is the rule that explains the numbers.
So, for the tenth term, n=10, we have 2n+1 which gives (2*10) + 1 --> 20 + 1 --> 21.
Does that helps?
Jon.
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