Question

Problem Solving - Part 1. Look over the following image. Click/tap the piece below that would best fit next in the sequence.

a. 1
b. 2
c. 3
d. 4

Answer 1

The next piece in the sequence is c. 3.

Step-by-step explanation:

In the given sequence, each number is multiplied by 2 and then subtracted by 1 to get the next number.

1 x 2 - 1 = 1

1 x 2 - 1 = 1

2 x 2 - 1 = 3

3 x 2 - 1 = 5

5 x 2 - 1 = 9

So, following this pattern, the next number in the sequence would be 3.

The sequence follows a clear pattern where each number is multiplied by 2 and then subtracted by 1 to obtain the next number. This pattern is consistent throughout the sequence, leading to the conclusion that the next number should be obtained by applying the same rule to the last number in the sequence. Therefore, based on this pattern, the next number in the sequence would be 3.

By analyzing the given sequence, it becomes evident that each subsequent number is derived from the previous one by multiplying it by 2 and then subtracting 1. This consistent pattern allows us to confidently determine that 3 is the correct next piece in the sequence.

Correct option is c. 3