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How am I supposed to do the really hard nth term questions like when it has n squared and n cubed and all that confusing stuff? Is there a formula or do you do it in a table? help! =S
If you're talking about the linear sequences, like for example, 2,5,10,17,26 where the difference between each one is different you have to find n squared:
n2 = 1 4 9 16 25
the sequence = 2 5 10 17 26
difference = + 1 +1 +1 +1 +1
So the nth term is found by n2 + 1
what do you mean....? do u hv an example
lets say you have a sequence which goes like this
3 5 7 9 11...etc
and you were asked to find the nth term of the sequence
firstly, you have to find out what they increase by which is normally the number of n's.
so in this one they increase by 2.
So we say that you have 2n.
but 2x1 isnt 3.
so now we have to find out what we add on the end.
and that is 1.
so the term is 2n+1.
check it works for the others and bamm x