It's clear that we are adding term by 3 each time. To find the form of the nth term, we need to use the arithmetic form, which is:
an = a1 + (n - 1)d where:
Let a1 = 2 and d = 3. Then:
an = 2 + 3(n - 1)
= 2 + 3n - 3
= 3n - 1
Therefore, the answer is an = 3n - 1.
The nth term is 2 + 3n.
The nth term is 3n+2 and so the next number will be 17
It is: 3n+2
The nth term is: 3n+2 and so the next number will be 20
It is: nth term = -4n+14
The nth term is 2 + 3n.
The nth term is 3n+2 and so the next number will be 17
It is: 3n+2
3n-2
The nth term is: 3n+2 and so the next number will be 20
It is: nth term = -4n+14
3n - 1
The nth term of the sequence is (n + 1)2 + 2.
Tn = 10 + n2
They are: nth term = 6n-4 and the 14th term is 80
42
The nth term is: 3n-7 and so the next number will be 11