What is the subsequent number in the pattern 75, 65, 57, 51, 47?

To determine the next number in the sequence 75, 65, 57, 51, and 47, it is important to observe the differences between consecutive terms.

Starting from the first number, the differences are calculated as follows:

• From 75 to 65, the difference is 10.

• From 65 to 57, the difference is 8.
• From 57 to 51, the difference is 6.
• From 51 to 47, the difference is 4.

You can see that the pattern shows a consistent decrease in the differences: 10, 8, 6, 4. Each difference reduces by 2. Continuing this pattern, the next difference would logically be 2.

By subtracting this next difference from the last number in the sequence, you get: 47 - 2 = 45.

Therefore, the next number in the pattern is 45, which is indeed the correct answer. Recognizing this decreasing sequence is key to understanding how to find the next number.