Number series

Practice number series and recognize patterns faster

A number series hides a rule. Learn the common patterns, work through clear examples, and turn practice into short daily games with Nuddle.

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Nuddle app screen for Practice number series and recognize patterns faster

What are number series?

A number series is a list of numbers that follows a hidden rule. Your job is to find the rule and work out the numbers that come next. Some series add or subtract a fixed step. Others multiply, alternate between two rules, or grow by a changing amount.

Once you see the rule, the next number is obvious. The skill is spotting the rule quickly, and that is something you get better at with practice.

How to solve number series questions

Start by looking at the gaps between the numbers, then test a few simple ideas in order.

  • Check the difference between each pair of numbers. A constant difference means a simple add or subtract rule.
  • If the numbers grow fast, test multiplication or doubling.
  • If the gaps themselves grow, the rule may be based on squares or a changing step.
  • Watch for two rules taking turns, where every other number follows its own pattern.
  • Try adding the previous two numbers, since some series build the next value that way.

Common pattern types

Most number series fall into a handful of pattern families:

  • Add or subtract a fixed value, like 4, 7, 10, 13.
  • Multiply or divide by a fixed value, like 3, 9, 27, 81.
  • Alternating rules, where the series switches between two steps.
  • Growing steps, where the gap increases each time.
  • Squares and cubes, like 1, 4, 9, 16.
  • Sum of the previous two numbers, like 1, 1, 2, 3, 5.

Worked examples

Three short number series with the answer and the rule. Cover the answer and try them first.

2481632
Answer: 32. Each number is doubled.
47101316
Answer: 16. Add 3 every step.
1491625
Answer: 25. The squares of 1, 2, 3, 4, 5.

Why Nuddle helps you practice

Nuddle turns number series practice into short games you actually keep coming back to. Solve the Daily Nuddle, build a streak, and play endless logic rounds when you want more. Four modes and 18 games cover pattern recognition, mental math, memory, and relaxed play.

Logic

Sequences

Endless number riddles

Sequence Challenge

Ten riddles. One shared clock.

Number Matrix

Complete the grid's pattern

Emoji Equations

Crack each emoji's value

Dice Fold

Fold the net in your head

Speed

Quick Math

Complete the equation

Pattern Sprint

Crack sequences against the clock

Number Rush

Tap them in order

Odd One Out

One doesn't belong

True or False

Trust your gut

Memory

Target Recall

Remember the numbers, hit the sum

Code Recall

Memorize & type back

Count Recall

How many did you see?

Match Math

Pair equations with results

Casual

Four in a Row

Two players, one board

Merge

Reach 2048

Path to Target

Draw a path to the target sum

Nonogram

Reveal the hidden picture

Number series FAQ

Practice number series every day

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