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Extend number patterns by 5

A number pattern that increases by 5 has a constant difference: each term is found by adding 5 to the preceding term, such as 20, 25, 30, 35. The learner extends such sequences within familiar numbers to 100, using a number line or hundred chart to track equal jumps and noticing that the ones digit alternates between 0 and 5; general rules for larger numbers or formal algebraic notation are not included.

Detailed Explanation: Extend number patterns by 5

A number pattern that goes up by 55 means add 55 each time.

Look at this pattern:

20, 25, 30, __, __20,\ 25,\ 30,\ \_\_,\ \_\_

Start with 3030 and add 55:

  • 30+5=3530+5=35
  • 35+5=4035+5=40

So the completed pattern is:

20, 25, 30, 35, 4020,\ 25,\ 30,\ 35,\ 40

You can also use a number line. Start at 3030 and make equal jumps of 55:

30⟶35⟶4030 \longrightarrow 35 \longrightarrow 40

Check your work: the ones digits go 0,5,0,5,00, 5, 0, 5, 0. Each number is exactly 55 more than the number before it.

Learn by doing: Extend number patterns by 5

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Skip Counting Upward by 5 - Next 2 in Pattern


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