Question

Read the numbers and decide what the next number should be. 1 1.25 7 7.50 2 2.25 8 a. 3.25 b. 3.50 c. 8.25 d. 8.50

Answer 1

After analyzing the sequence pattern, the next number following the given pattern would be 8.50, which is option b.

Step-by-step explanation:

The sequence of numbers provided doesn't seem to follow a simple arithmetic or geometric progression. Therefore, we need to look for a pattern within the sequence. If we split the sequence into two parts, with every other number forming a separate sub-sequence, we can see that the first sub-sequence is 1, 7, 2, 8, and the second is 1.25, 7.50, 2.25. Looking at these, we can see that the second sub-sequence increments by 0.25 each time, and the first sub-sequence alternates between adding 6 and subtracting 5. Following this pattern, after 8 in the first sub-sequence the next operation would be to subtract 5, leading us to 3. In the second sub-sequence, the last increase was to add 0.25 to 2, giving us 2.25, so the next increment would be to add 0.25 to 2.25 giving us 2.50. Since we are looking for the next number after 8, which is in the first sub-sequence, we should expect a whole number. Therefore, the answer is option b. 8.50.

Answer 2

Based on the given sequence of numbers we can observe that each number alternates between an integer and a number with decimal places.

The pattern appears to be as follows:

1 1.25 7 7.50 2 2.25 8 ...

From this pattern we can deduce that the next number should be an integer.

The options provided are:

a. 3.25

b. 3.50

c. 8.25

d. 8.50

Since we are looking for an integer we can eliminate options a and b since they have decimal places.

Therefore the next number should be 8.50.

So the correct answer is d. 8.50.