Continuing a multiplying sequence

Difficulty Stretch · Set 4k0ix6

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1
What comes next? 16, 80, 400, 2000, 10000, …
2
What comes next? 9, 45, 225, 1125, 5625, …
3
What comes next? 5, 10, 20, 40, 80, …
4
What comes next? 16, 32, 64, 128, 256, …
5
What comes next? 16, 32, 64, 128, 256, …
6
What comes next? 19, 95, 475, 2375, 11875, …
7
What comes next? 16, 32, 64, 128, 256, …
8
What comes next? 19, 95, 475, 2375, 11875, …
9
What comes next? 5, 25, 125, 625, 3125, …
10
What comes next? 24, 120, 600, 3000, 15000, …
11
What comes next? 9, 18, 36, 72, 144, …
12
What comes next? 3, 12, 48, 192, 768, …
13
What comes next? 11, 44, 176, 704, 2816, …
14
What comes next? 14, 70, 350, 1750, 8750, …
15
What comes next? 20, 100, 500, 2500, 12500, …
16
What comes next? 10, 20, 40, 80, 160, …
17
What comes next? 12, 36, 108, 324, 972, …
18
What comes next? 12, 60, 300, 1500, 7500, …
19
What comes next? 7, 28, 112, 448, 1792, …
20
What comes next? 24, 72, 216, 648, 1944, …

What is in this set

The numbers in this set run from 2 to 15,625.
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 88 different ones, 37% — 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.