Continuing a multiplying sequence

Difficulty Standard · Set 57wne0

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

1
What comes next? 2, 10, 50, 250, 1250, …
2
What comes next? 8, 24, 72, 216, 648, …
3
What comes next? 5, 20, 80, 320, 1280, …
4
What comes next? 4, 20, 100, 500, 2500, …
5
What comes next? 5, 15, 45, 135, 405, …
6
What comes next? 5, 20, 80, 320, 1280, …
7
What comes next? 12, 36, 108, 324, 972, …
8
What comes next? 8, 32, 128, 512, 2048, …
9
What comes next? 3, 9, 27, 81, 243, …
10
What comes next? 7, 28, 112, 448, 1792, …
11
What comes next? 4, 16, 64, 256, 1024, …
12
What comes next? 11, 33, 99, 297, 891, …
13
What comes next? 4, 16, 64, 256, 1024, …
14
What comes next? 6, 24, 96, 384, 1536, …
15
What comes next? 2, 6, 18, 54, 162, …
16
What comes next? 10, 30, 90, 270, 810, …
17
What comes next? 12, 48, 192, 768, 3072, …
18
What comes next? 7, 28, 112, 448, 1792, …
19
What comes next? 5, 10, 20, 40, 80, …
20
What comes next? 6, 12, 24, 48, 96, …

What is in this set

The numbers in this set run from 2 to 7,500.
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 44 different ones, 18% — 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.