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What is the next number in the series: 1, 2, 4, 7, 11, ?

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Question: What is the next number in the series: 1, 2, 4, 7, 11, ?

Options:

  1. 14
  2. 15
  3. 16
  4. 17

Correct Answer: 14

Solution: 

The differences are 1, 2, 3, 4, which increase by 1 each time. 11 + 3 = 14.

What is the next number in the series: 1, 2, 4, 7, 11, ?

Practice Questions

Q1
What is the next number in the series: 1, 2, 4, 7, 11, ?
  1. 14
  2. 15
  3. 16
  4. 17

Questions & Step-by-Step Solutions

What is the next number in the series: 1, 2, 4, 7, 11, ?
  • Step 1: Look at the series of numbers: 1, 2, 4, 7, 11.
  • Step 2: Find the difference between each pair of numbers in the series.
  • Step 3: Calculate the differences: 2 - 1 = 1, 4 - 2 = 2, 7 - 4 = 3, 11 - 7 = 4.
  • Step 4: Write down the differences: 1, 2, 3, 4.
  • Step 5: Notice that the differences are increasing by 1 each time.
  • Step 6: The next difference should be 5 (since 4 + 1 = 5).
  • Step 7: Add this next difference to the last number in the series: 11 + 5 = 16.
  • Step 8: Therefore, the next number in the series is 16.
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