What is a Sequence?

Hello, class! Today, we are going to learn about something called a sequence. A sequence is a list of numbers that follow a certain pattern. For example, if we start with the number 1 and keep adding 1, we get the sequence: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Completing a Sequence

Now, sometimes we might see a sequence with some missing numbers. Our job is to complete the sequence by filling in the missing numbers. Let’s look at an example:

  • 1, __, 3, __, 5

In this sequence, we can see that the missing numbers are 2 and 4 because we are counting up by 1. So the complete sequence is: 1, 2, 3, 4, 5.

Key Rules for Completing Sequences

  1. Look for the Pattern: Check how the numbers change. Are they going up or down? Are they adding or subtracting?
  2. Fill in the Blanks: Write down the missing numbers based on the pattern you see.
  3. Count Carefully: Use your counting skills to help you find the right numbers.

Tips and Tricks

  • Use Your Fingers: If you get stuck, use your fingers to count.
  • Draw a Number Line: Drawing a line with numbers can help you see which number is missing.
  • Practice with Friends: Work with a partner to complete sequences together.

Questions to Complete the Sequence

Easy Level (1-10)

  1. 1, __, 3
  2. __, 2, 3
  3. 4, __, 6
  4. __, 5, 6
  5. 7, 8, __
  6. 1, 2, __, 4
  7. __, 2, 4
  8. 5, __, 7
  9. __, 3, 4
  10. 9, __, 11
  11. 1, 1, __
  12. __, 2, 2
  13. 4, 4, __
  14. 5, __, 5
  15. __, 1, 1
  16. 2, 3, __
  17. 1, __, 1
  18. __, 6, 7
  19. 3, __, 5
  20. 8, __, 9

Medium Level (1-10)

  1. 2, 4, __
  2. 1, 3, __
  3. __, 2, 4
  4. 5, __, 7
  5. 3, __, 5
  6. __, 1, 2
  7. 2, __, 6
  8. 8, __, 10
  9. 1, 2, 3, __
  10. __, 5, 6, 7
  11. 3, 6, __
  12. __, 2, 4, 6
  13. 9, __, 11
  14. 2, __, 4, 6
  15. __, 1, 3
  16. 1, 2, __, 4
  17. 2, 3, __, 5
  18. 4, 5, __
  19. 5, __, 7
  20. 2, __, 4, 6

Hard Level (1-10)

  1. 1, 3, __, 7
  2. 2, __, 6, 8
  3. 4, __, 6, 8
  4. __, 3, 5, 7
  5. 1, 4, __, 10
  6. 3, 6, __, 12
  7. __, 5, 10, 15
  8. 2, __, 8, 10
  9. 5, 10, 15, __
  10. 1, __, 7, 12
  11. 9, __, 15
  12. 3, __, 9, 12
  13. __, 4, 8, 12
  14. 2, 5, __
  15. 7, __, 11, 15
  16. __, 4, 8, 12
  17. 1, 1, 2, 3, __
  18. 10, 9, __
  19. 6, __, 10
  20. __, 3, 5, 7

Answers and Explanations

Easy Level Answers

  1. 2 – The sequence counts up by 1.
  2. 1 – The sequence starts from 1, counting up.
  3. 5 – The sequence counts up by 2.
  4. 4 – The sequence counts up by 1.
  5. 9 – The sequence counts up by 1.
  6. 3 – The sequence counts up by 1.
  7. 6 – The sequence counts up by 2.
  8. 6 – The sequence counts up by 2.
  9. 5 – The sequence counts up by 1.
  10. 10 – The sequence counts up by 1.
  11. 1 – The sequence is repeating 1.
  12. 2 – The sequence repeats 2.
  13. 4 – The sequence repeats 4.
  14. 5 – The number is repeating 5.
  15. 1 – The sequence is repeating 1.
  16. 4 – The sequence counts up by 1.
  17. 2 – The sequence counts up by 1.
  18. 5 – The sequence counts up by 1.
  19. 4 – The sequence counts up by 1.
  20. 9 – The sequence counts up by 1.

Medium Level Answers

  1. 6 – The sequence counts up by 2.
  2. 5 – The sequence counts up by 2.
  3. 3 – The sequence counts up by 2.
  4. 6 – The sequence counts up by 2.
  5. 4 – The sequence counts up by 2.
  6. 1 – The sequence starts from 1.
  7. 4 – The sequence counts up by 2.
  8. 9 – The sequence counts up by 2.
  9. 4 – The sequence counts up by 1.
  10. 4 – The sequence counts up by 1.
  11. 9 – The sequence counts up by 3.
  12. 6 – The sequence counts up by 2.
  13. 10 – The sequence counts up by 2.
  14. 3 – The sequence counts up by 1.
  15. 2 – The sequence counts up by 1.
  16. 3 – The sequence counts up by 1.
  17. 4 – The sequence counts up by 2.
  18. 3 – The sequence counts up by 2.
  19. 6 – The sequence counts up by 1.
  20. 3 – The sequence counts up by 2.

Hard Level Answers

  1. 5 – The sequence counts up by 2.
  2. 4 – The sequence counts up by 2.
  3. 5 – The sequence counts up by 2.
  4. 1 – The sequence counts up by 2.
  5. 6 – The sequence counts up by 3.
  6. 9 – The sequence counts up by 6.
  7. 5 – The sequence counts by 5 each time.
  8. 6 – The sequence counts by 2.
  9. 20 – The sequence counts by 5.
  10. 4 – The sequence counts up by 3.
  11. 12 – The sequence counts by 6.
  12. 6 – The sequence counts by 3.
  13. 8 – The sequence counts by 4.
  14. 8 – The sequence counts up by 3.
  15. 8 – The sequence counts up by 4.
  16. 8 – The sequence counts up by 4.
  17. 5 – The sequence is Fibonacci sequence.
  18. 8 – The sequence counts down by 1.
  19. 8 – The sequence counts by 4.
  20. 1 – The sequence counts up by 2.

I hope this helps you understand how to complete a sequence! Keep practicing, and you will get even better!