Question

What is the nth term for 4,6,10,16,24,34,46

Answer 1

the pattern is
starting with a difference of 2 between 4 and 6. a difference of 4 between 6 and 10. a difference of 6 between 10 and 16. a difference of 8 between 16 and 24. a difference of 10 between 24 and 34. a difference of 12 between 34 and 46.
the difference does up by 2 each time
2
4
6
8
10
12
so +14 to 46 = 60
+16 to 60 = 76 for the 9th spot in the pattern

Answer 2

Explanation:

2 + 4n

For example n = 1, and the first term we know is 6. 2 + 4(1) = 6. Yay!

n = 2: 2 + 4(2) = 10. Yay!

You can plug any of the other terms into this and they will be correct, so for whatever value n, the term is 2 + 4n.

Hope I helped!