What is the next number in the series: 1, 2, 4, 7, 11, 16 ...?

What is the next number in the series: 1, 2, 4, 7, 11, 16 ...?

• A. 20
• B. 21
• C. 22
• D. 24

Answer: (C)

To determine the next number in the series 1, 2, 4, 7, 11, 16, let's first analyze the pattern by examining the differences between each pair of consecutive numbers. - The difference between 1 and 2 is 1. - The difference between 2 and 4 is 2. - The difference between 4 and 7 is 3. - The difference between 7 and 11 is 4. - The difference between 11 and 16 is 5. Observing these differences, we see that they form an increasing sequence: 1, 2, 3, 4, 5. This indicates that the next difference should be 6. Adding this difference to the last number in the series: 16 + 6 = 22. Thus, the next number in the sequence is 22. This understanding confirms that the correct answer is indeed C.

To determine the next number in the series 1, 2, 4, 7, 11, 16, let's first analyze the pattern by examining the differences between each pair of consecutive numbers.

• The difference between 1 and 2 is 1.

• The difference between 2 and 4 is 2.

• The difference between 4 and 7 is 3.

• The difference between 7 and 11 is 4.

• The difference between 11 and 16 is 5.

Observing these differences, we see that they form an increasing sequence: 1, 2, 3, 4, 5. This indicates that the next difference should be 6.

Adding this difference to the last number in the series:

16 + 6 = 22.

Thus, the next number in the sequence is 22. This understanding confirms that the correct answer is indeed C.