Complete an increasing number of sequence
Key Notes :
Understanding Number Sequences
- A number sequence is a list of numbers arranged in a specific order.
- In an increasing sequence, each number is larger than the previous one.
Identifying the Rule
- Look for a pattern in the sequence (e.g., addition, multiplication).
- Common patterns include adding a fixed number (e.g., +2, +5) or multiplying by a fixed number (e.g., ×2, ×3).
Finding the Difference or Ratio
- Subtract one number from the next to find the common difference for additive sequences.
- Divide one number by the previous number to find the ratio for multiplicative sequences.
Completing the Sequence
- Apply the identified rule to continue the sequence.
- Example: If the sequence is 3, 6, 9, 12, the rule is “add 3.” The next numbers are 15, 18, 21.
Learn with an example
1) Type the next number in this sequence:
1, 3, 6, 10, 15, 21, ______
Find the pattern. Look at how much you add to each number to get the next number:
The amount you add increases by 1 each time. You should add 7 the next time. Add 7 to 21 to find the next number:
The next number is 28.
2) Type the next number in this sequence:
1, 2, 4, 7, 11, 16, 22, _____
Find the pattern. Look at how much you add to each number to get the next number:
The amount you add increases by 1 each time. You should add 7 the next time. Add 7 to 22 to find the next number:
The next number is 29.
3) Type the next number in this sequence:
1, 2, 5, 10, 17, 26, _____
Find the pattern. Look at how much you add to each number to get the next number:
The amount you add increases by 2 each time. You should add 11 the next time. Add 11 to 26 to find the next number:
The next number is 37.
Let’s practice!🖊️
