AskThena

Number series

A list of numbers follows a rule, and the question asks what comes next. The rule is usually in the jumps between the numbers.

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What the question looks like

Find the number that comes next in the series.

3, 7, 11, 15, ( ? )

  1. 17
  2. 18
  3. 19
  4. 20
  5. 21

How Thena would solve it

  1. Write the jump between each pair of numbers.

    3 → 7 → 11 → 15

    +4 +4 +4

  2. The jumps are all +4, so add 4 once more.

    15 + 4 = 19

  3. If the jumps change, see how they change: +1, +2, +3 means +4 next. If nothing fits, look at every other number, as two series can take turns.

Answer: 19

The usual mistakes

  • Looking at two numbers only

    Check the jump between every pair before you decide.

  • Missing a jump that grows

    Write the jumps down. If they grow, the next one grows too.

  • Missing two series taking turns

    Look at the 1st, 3rd and 5th numbers, then the 2nd, 4th and 6th.

Try ten

Ten number series questions

A new set every time, marked when you finish.

Have paper and a pencil ready for working out.

Questions parents ask

How do you answer Number series questions?

Write the jump between each pair of numbers. If the jumps are the same, use it again; if they grow, grow it again; if nothing fits, look at every other number, as two series can take turns.

More in number puzzles

All 21 kinds of verbal reasoning question

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