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In the series 2, 5, 10, 17, what is the pattern used to generate the next term?

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Question: In the series 2, 5, 10, 17, what is the pattern used to generate the next term? (2023)

Options:

  1. Add consecutive odd numbers
  2. Add consecutive even numbers
  3. Multiply by 2
  4. Subtract 1

Correct Answer: Add consecutive odd numbers

Exam Year: 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.

In the series 2, 5, 10, 17, what is the pattern used to generate the next term?

Practice Questions

Q1
In the series 2, 5, 10, 17, what is the pattern used to generate the next term? (2023)
  1. Add consecutive odd numbers
  2. Add consecutive even numbers
  3. Multiply by 2
  4. Subtract 1

Questions & Step-by-Step Solutions

In the series 2, 5, 10, 17, what is the pattern used to generate the next term? (2023)
  • 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.
  • Pattern Recognition – Identifying the rule or sequence that generates the series of numbers.
  • Arithmetic Progression – Understanding how to add consecutive odd numbers to find the next term.
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