Question

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

Answer 1

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 $\dfrac{1}{2}$ because each term is half of its preceding term.

Next term after 0.5 = $0.5\times \dfrac{1}{2}=0.25$

Next term after 0.25 = $0.25\times \dfrac{1}{2}=0.125$

Next term after 0.125 = $0.125\times \dfrac{1}{2}=0.0625$

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