Question

In the sequence: 53, 56, 57, 61, 63, ..., what number should come next?

A) 65
B) 66
C) 67
D) 68

Answer 1

To find the next number in the sequence, a pattern in the differences between terms was observed, alternating between adding 1 and adding 3 to the previous difference. Following this pattern, the next number after 63 is 68, making the correct answer D) 68.

Step-by-step explanation:

The sequence provided is: 53, 56, 57, 61, 63, ... We need to determine the next number. Looking at the differences between consecutive terms, we have the following sequence of differences: 3, 1, 4, 2. This appears to follow a pattern where each difference alternates between adding 1 and adding 3 (3 = 1 + 2, 1 = 3 - 2, 4 = 1 + 3, 2 = 4 - 2). If this pattern continues, the next difference would be adding 3 to the last difference, so the next difference would be 2 + 3 = 5.

Thus, the next number in the original sequence after 63 would be 63 + 5 = 68.

The correct answer is D) 68.