Question

Find the next three terms of the following sequence:
16,8,4, 2, 1

Answer 1

Answer:

0.5, 0.25, 0.125

Step-by-step explanation:

its simply divided by 2

Answer 2

Answer:

$\frac{1}{2}$, $\frac{1}{4}$, $\frac{1}{8}$

Step-by-step explanation:

There is a common ratio between consecutive terms in the sequence, that is

r = 8 ÷ 16 = 4 ÷ 8 = 2 ÷ 4 = 1 ÷ 2 = $\frac{1}{2}$

Thus any term can be found by multiplying the previous term by $\frac{1}{2}$

a₆ = $\frac{1}{2}$ × a₅ = $\frac{1}{2}$ × 1 = $\frac{1}{2}$

a₇ = $\frac{1}{2}$ × a₆ = $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$

a₈ = $\frac{1}{2}$ × a₇ = $\frac{1}{2}$ × $\frac{1}{4}$ = $\frac{1}{8}$