Continuing a multiplying sequence

Difficulty Starter · Set fjus2c

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1
What comes next? 3, 9, 27, 81, 243, …
2
What comes next? 4, 16, 64, 256, 1024, …
3
What comes next? 5, 10, 20, 40, 80, …
4
What comes next? 6, 18, 54, 162, 486, …
5
What comes next? 6, 18, 54, 162, 486, …
6
What comes next? 2, 6, 18, 54, 162, …
7
What comes next? 4, 12, 36, 108, 324, …
8
What comes next? 2, 10, 50, 250, 1250, …
9
What comes next? 4, 12, 36, 108, 324, …
10
What comes next? 4, 8, 16, 32, 64, …
11
What comes next? 6, 18, 54, 162, 486, …
12
What comes next? 5, 15, 45, 135, 405, …
13
What comes next? 6, 30, 150, 750, 3750, …
14
What comes next? 4, 8, 16, 32, 64, …
15
What comes next? 5, 25, 125, 625, 3125, …
16
What comes next? 4, 16, 64, 256, 1024, …
17
What comes next? 6, 24, 96, 384, 1536, …
18
What comes next? 2, 10, 50, 250, 1250, …
19
What comes next? 5, 15, 45, 135, 405, …
20
What comes next? 5, 25, 125, 625, 3125, …

What is in this set

The numbers in this set run from 2 to 3,750.
Every problem in it will multiply by a constant amount.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: the gap between the last two was added on.
Answers are a whole number.

Drawing 240 problems from this page produced 20 different ones, 8% — 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 6 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.