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

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.