The nth term of an AP with initial term a (= u{1}) and common difference d is given by:
u{n} = a + (n - 1)d
In this case:
a = 6
d = (12 - 6) = 6
→ u{n} = 6 + (n - 1)6
But this can be simplified:
u{n} = 6 + (n - 1)6
= 6 + 6n - 6
= 6n
The nth term is 3(n+1). The twenty-third term is equal to 3 x (23 + 1) = 72
There is no pattern
Clearly, if you omit the sign, the nth. term will be 4n. The alternating sign can easily be expressed as a power of (-1), so in summary, the nth. term is (-1)n4n.
tn=5n-3
If you mean 3, 6, 9, 12 then the nth term is 3n
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
8 + 4n
18 - 6n
12 - 5(n-1)
The nth term is 3(n+1). The twenty-third term is equal to 3 x (23 + 1) = 72
The nth term of the sequence is expressed by the formula 8n - 4.
The nth term is 5n-3 and so the next term will be 22
nth term is n squared plus three
Here are the first five terms of a sequence. 12 19 26 33 40 Find an expression for the nth term of this sequence.
5
This is an arithmetic sequence which starts at 14, a = 14, and with a common difference of -1, d = -1. We can use the nth term formula an = a + (n - 1)d to get an = 14 + (n - 1)(-1) = 14 - n + 1 = 15 - n.
24 - 6n