Steply

Number patterns

Elementary · 20 problems, easy to harder

▶ Watch the first one solved

How we do it

  1. Find the jumps
  2. Find the rule
  3. Use the rule
  4. Check

The steps for What comes next: 2, 4, 6, 8. Every solution names its steps, so you always know what comes next.

Worked examples

What comes next: 2, 4, 6, 8 Easy

The question

Question: what comes next?

2, 4, 6, 8, □.

2, 4, 6, 8, □

1 Find the jumps

2 Find the rule

Every jump is the same: +2.

The rule is: add 2 each time.

= Rule: add 2 each time

3 Use the rule

The number before the box is 8.

8 + 2 = 10.

8 + 2 = 10

So the next number is 10.

= 2, 4, 6, 8, 10

4 Check

We go one jump back.

10 − 2 is 8.

Yes!

It works.

10 − 2 = 8

Let's look back.

First: find the jumps.

Then: find the rule.

Then: use the rule.

Last: check.

Answer
= 2, 4, 6, 8, 10

▶ Watch it solved

What comes next: 3, 7, 11, 15 Medium

The question

Question: what comes next?

3, 7, 11, 15, □.

3, 7, 11, 15, □

1 Find the jumps

2 Find the rule

Every jump is the same: +4.

The rule is: add 4 each time.

= Rule: add 4 each time

3 Use the rule

The number before the box is 15.

15 + 4 = 19.

15 + 4 = 19

So the next number is 19.

= 3, 7, 11, 15, 19

4 Check

We go one jump back.

19 − 4 is 15.

Yes!

It works.

19 − 4 = 15

Let's look back.

First: find the jumps.

Then: find the rule.

Then: use the rule.

Last: check.

Answer
= 3, 7, 11, 15, 19

▶ Watch it solved

What comes next: 2, 4, 8, 16 Harder

The question

Question: what comes next?

2, 4, 8, 16, □.

2, 4, 8, 16, □

1 Find the jumps

2 Find the rule

Every jump is the same: ×2.

The rule is: double it each time.

= Rule: double it each time

3 Use the rule

The number before the box is 16.

Double 16 is 16 + 16 = 32.

16 + 16 = 32

So the next number is 32.

= 2, 4, 8, 16, 32

4 Check

16 and 16 make 32.

Yes!

It works.

16 + 16 = 32

Let's look back.

First: find the jumps.

Then: find the rule.

Then: use the rule.

Last: check.

Answer
= 2, 4, 8, 16, 32

▶ Watch it solved

Practice

Try each one, then open the answer. Stuck? Open the problem to watch every step.

Easy

  1. what comes next: 2, 4, 6, 8
    Answer
    = 2, 4, 6, 8, 10
  2. what comes next: 5, 10, 15, 20
    Answer
    = 5, 10, 15, 20, 25
  3. what comes next: 10, 20, 30, 40
    Answer
    = 10, 20, 30, 40, 50
  4. what comes next: 1, 3, 5, 7
    Answer
    = 1, 3, 5, 7, 9
  5. what comes next: 3, 6, 9, 12
    Answer
    = 3, 6, 9, 12, 15
  6. what comes next: 11, 12, 13
    Answer
    = 11, 12, 13, 14
  7. what comes next: 0, 5, 10, 15
    Answer
    = 0, 5, 10, 15, 20

Medium

  1. what comes next: 3, 7, 11, 15
    Answer
    = 3, 7, 11, 15, 19
  2. what comes next: 50, 45, 40
    Answer
    = 50, 45, 40, 35
  3. what comes next: 2, 5, 8, 11
    Answer
    = 2, 5, 8, 11, 14
  4. what comes next: 30, 27, 24, 21
    Answer
    = 30, 27, 24, 21, 18
  5. find the missing number: 1, 4, □, 10, 13
    Answer
    = 1, 4, 7, 10, 13
  6. find the missing number: 10, 20, □, 40
    Answer
    = 10, 20, 30, 40
  7. what comes next: 100, 90, 80, 70
    Answer
    = 100, 90, 80, 70, 60

Harder

  1. what comes next: 2, 4, 8, 16
    Answer
    = 2, 4, 8, 16, 32
  2. what comes next: 1, 2, 4, 8, 16
    Answer
    = 1, 2, 4, 8, 16, 32
  3. find the missing number: 5, 10, □, 40
    Answer
    = 5, 10, 20, 40
  4. find the missing number: 46, 42, □, 34
    Answer
    = 46, 42, 38, 34
  5. what comes next: 125, 150, 175, 200
    Answer
    = 125, 150, 175, 200, 225
  6. find the missing number: 3, □, 11, 15
    Answer
    = 3, 7, 11, 15