Question

Fill in the next two terms in the pattern. Enter your answers in the boxes. 0.16, 0.35, 0.54

Answer 1

To find the next two terms, we must first identify the common difference. This can be found by subtracting two values, which would look like:

0.35 - 0.16 = 0.19

We now know our common difference is 0.19.

With knowledge of our common difference, we can apply it to this arithmetic sequence to find the next two terms:

0.54 + 0.19 = 0.73

0.73 + 0.19 = 0.92

The first five terms of this sequence are:

0.16, 0.35, 0.54, 0.73, and 0.92

where 0.73 is the 4th position and 0.92 is the 5th position.

Answer 2

0.73, 0.92

Step-by-step explanation

We want to fill the next two terms in the pattern.

The pattern given is:

0.16, 0.35, 0.54

There is a common difference in this pattern (the difference between two successive terms).

To find this, let us subtract the first term from the second:

0.35 - 0.16 = 0.19

This is the same for the third term subtracting the second term:

0.54 - 0.35 = 0.19

Therefore, the next two terms can be gotten by adding 0.19:

0.54 + 0.19 = 0.73

0.73 + 0.19 = 0.92

The next two terms are 0.73 and 0.92.