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In the series 2, 5, 10, 17, what is the pattern used to generate the next term?
In the series 2, 5, 10, 17, what is the pattern used to generate the next term? (2023)
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Practice Questions
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Q1
In the series 2, 5, 10, 17, what is the pattern used to generate the next term? (2023)
Add consecutive odd numbers
Add consecutive even numbers
Multiply by 2
Subtract 1
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The pattern is to add consecutive odd numbers: 2 + 3 = 5, 5 + 5 = 10, 10 + 7 = 17. The next term is 17 + 9 = 26.
Questions & Step-by-step Solutions
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Q
Q: In the series 2, 5, 10, 17, what is the pattern used to generate the next term? (2023)
Solution:
The pattern is to add consecutive odd numbers: 2 + 3 = 5, 5 + 5 = 10, 10 + 7 = 17. The next term is 17 + 9 = 26.
Steps: 6
Show Steps
Step 1: Start with the first number in the series, which is 2.
Step 2: To get the next number (5), add the first odd number (3) to 2: 2 + 3 = 5.
Step 3: To get the next number (10), add the next odd number (5) to 5: 5 + 5 = 10.
Step 4: To get the next number (17), add the next odd number (7) to 10: 10 + 7 = 17.
Step 5: The next odd number after 7 is 9.
Step 6: To find the next term in the series, add 9 to 17: 17 + 9 = 26.
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