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 [tex]\dfrac{1}{2}[/tex] because each term is half of its preceding term.
Next term after 0.5 = [tex]0.5\times \dfrac{1}{2}=0.25[/tex]
Next term after 0.25 = [tex]0.25\times \dfrac{1}{2}=0.125[/tex]
Next term after 0.125 = [tex]0.125\times \dfrac{1}{2}=0.0625[/tex]
Therefore, the next three numbers in the pattern are 0.25, 0.125 and 0.0625 respectively.
