The rule for the nth term

Difficulty Standard · Set cclile

Write the rule for the nth term of each sequence, the n term first, like 3n + 2.

Fill in what you can and press Check. Nothing you type is sent anywhere.

1
7, 10, 13, 16, 19, …
2
2, 10, 18, 26, 34, …
3
1, 8, 15, 22, 29, …
4
12, 18, 24, 30, 36, …
5
15, 19, 23, 27, 31, …
6
15, 20, 25, 30, 35, …
7
11, 19, 27, 35, 43, …
8
7, 16, 25, 34, 43, …
9
7, 11, 15, 19, 23, …
10
7, 9, 11, 13, 15, …
11
10, 18, 26, 34, 42, …
12
3, 12, 21, 30, 39, …
13
16, 25, 34, 43, 52, …
14
10, 14, 18, 22, 26, …
15
17, 26, 35, 44, 53, …
16
17, 23, 29, 35, 41, …
17
9, 13, 17, 21, 25, …
18
4, 6, 8, 10, 12, …
19
16, 25, 34, 43, 52, …
20
2, 4, 6, 8, 10, …

What is in this set

The numbers in this set run from 1 to 52.
Every problem in it will ask for the rule rather than the next term.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 100% of the problems: the first term was used as the number on the end.
Answers are a short answer exactly as the problem asks for it.

Drawing 240 problems from this page produced 116 different ones, 48% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

The same skill, harder or easier

We would put this in front of a grade 8 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.