Question

What is the next term of the following sequence? 20, 10, 5, 21/2, ...

Answer 1

Answer:

1 $\frac{1}{4}$

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

10 ÷ 20 = 5 ÷ 10 = 2 $\frac{1}{2}$ ÷ 5 = $\frac{1}{2}$

Thus to obtain the next term in the sequence multiply the previous term by $\frac{1}{2}$

2 $\frac{1}{2}$ × $\frac{1}{2}$ = 1 $\frac{1}{4}$