What is the next number after 14, 16, 20, 26, 34?

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Multiple Choice

What is the next number after 14, 16, 20, 26, 34?

Explanation:
To find the next number in the sequence 14, 16, 20, 26, 34, it helps to analyze the differences between consecutive terms: - From 14 to 16, the difference is 2. - From 16 to 20, the difference is 4. - From 20 to 26, the difference is 6. - From 26 to 34, the difference is 8. These differences (2, 4, 6, 8) form a clear pattern, where each successive difference increases by 2. Following this pattern, the next difference should be 10 (as 8 + 2 = 10). To find the next number, add this difference of 10 to the last number in the existing sequence: 34 + 10 = 44. Therefore, the next number in the sequence is 44.

To find the next number in the sequence 14, 16, 20, 26, 34, it helps to analyze the differences between consecutive terms:

  • From 14 to 16, the difference is 2.

  • From 16 to 20, the difference is 4.

  • From 20 to 26, the difference is 6.

  • From 26 to 34, the difference is 8.

These differences (2, 4, 6, 8) form a clear pattern, where each successive difference increases by 2.

Following this pattern, the next difference should be 10 (as 8 + 2 = 10).

To find the next number, add this difference of 10 to the last number in the existing sequence:

34 + 10 = 44.

Therefore, the next number in the sequence is 44.

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