the first four numbers in a pattern are 4, 2, 1, and 0.5. Find the next three numbers in the pattern.

Given:

The first four numbers in a pattern are 4, 2, 1, and 0.5.

To find:

The next three numbers in the pattern.

Solution:

We have a pattern,

4, 2, 1, 0.5

Clearly, it is a GP and the common ratio is because each term is half of its preceding term.

Next term after 0.5 =

Next term after 0.25 =

Next term after 0.125 =

Therefore, the next three numbers in the pattern are 0.25, 0.125 and 0.0625 respectively.