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Sequences and series
Sequences Consider the following patter of numbers: 2, 4, 6, 8, 10, ……… 1, 4, 9, 16, 25, 36,……. 1, 3, 5, 7, 9, 11, 13, 15…….. Can you be able to get the next number? Can you write the next 20 numbers from the pattern? There are some rules you can use to obtain the numbers in each pattern. For example in the first pattern, you can count position of the number and then multiply by 2, in other…
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@chloehowman my writing is awful and explanation probably crap and your teacher will probs be better for this but here you are! X
Hey! I am getting into nth term formulas. Can you tell me something useful for finding the nth term? I have many good examples in my text book but I need more! Thanks so much xx
Hello, I am currently crazy busy doing an exam but I don't want to leave you hanging so here: I suggest you check out patrickjmt's video on the subject. I'm sorry I can't help more right now.
nth term
As I have learnt there are two types of nth term, Constant Difference Sequences and Changing Difference Sequences.
Constant Difference Sequences as the name suggests, is when the difference between terms is always the same. For example, 1, 4, 7, 10, ... has a difference which is always 3.
So how do you find the formula for the 'nth' term? Well, the three times table has the formula '3n'. 3, 6, 9, 12, 15, ... 1, 4, 7, 10, ... and the terms in this sequence are two less than the terms in the three times table so the formula is '3n - 2'.
Changing Difference Sequences are much more difficult and I will edit this post once I feel confident I understand the formula.
I have spent so long on this and I still can't get my head around this formula;
nth term = a + (n - 1)d + ½(n - 1)(n - 2)c
I did discover that a reasonable understanding of Algebra helps. Unfortunately I have no knowledge of Algebra so I plan to learn this next and come back to this.
