Maths Nth term?

[Silvermist456]

What is the nth term of
2, 5, 10, 17, 26 ,37
-2 ,3, 10 ,19, 30,43
7, 21, 42, 67, 99, 137
2, 3, 8, 17, 30, 47
Please I really need the answers

[NazNomad]

http://www.s-cool.co....ces/the-nth-term.html

Knowing how to find the answer is more important than copying the answer from somebody else.

[EGTB]

n' stands for the term number so to find the 20th term we would just substitute 20 in the formula in place of 'n'.

[Silvermist456]

Please

[Buenchico]

NB: The following uses the notation n^2 to mean 'n-squared'

Let's compare the first sequence to the square numbers which are, of course, 1, 4, 9, 16, 25, 36, . . . n^2
It's not difficult to see that the numbers in the sequence are simply 1 greater than the square numbers. So the nth term will simply be n^2 + 1

Try the same trick with the second sequence. Initially there doesn't seem to be an easy connection between the square numbers and those in the sequence but if you start the square numbers at 4 (instead of 1) the list is 4, 9, 16, 25, 36, . . . (n+1)^2
To change that list to the required sequence we simply need to subtract 6 from each term. So the nth term is (n+1)^2 -6

I suspect that you've mis-typed something in the 3rd sequence, because I can't make any sense of it.

For the last one you really do need to look at NazNomadd's link. Check that you understand what a, d and c are in the formula
nth term = a + (n - 1)d + ½(n - 1)(n - 2)c
Then enter the correct terms into that formula and simplify it, to get 2n^2 -5n + 5

Chris

[quinie]

Would love to help you seeing you are a very new member but I'm afraid Maths wasn't my strong point. Good luck and welcome.

[rialsnogard]

7, 21, 42, 67, 99, 137
breaking down and guestitamting here,
numbers between seem to follow a flow
7, 21, 42, 67, 99, 137
14 21 25 32 38
7 4 7 6
so thiniking like this the next number could be 182 as the lower number should/ could be 7

[rialsnogard]

2, 3, 8, 17, 30, 47
again looking between the numbers

2, 3, 8, 17, 30, 47
1 5 9 13 17
4 4 4 4

so the next number would be 4 on the lower and running up to the top line you get 68 as the answer

[rialsnogard]

-2 ,3, 10 ,19, 30,43

again too easy
-2 ,3, 10 ,19, 30,43

5 7 9 11 13
2 2 2 2
so the next number would be 58 lower number will be 2

[factor-fiction]

I think it's more likely that the sequence hasn't been typed correctly