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

Sagot :

Answer:

0.5, 0.25, 0.125

Step-by-step explanation:

its simply divided by 2

Answer:

[tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex], [tex]\frac{1}{8}[/tex]

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 = [tex]\frac{1}{2}[/tex]

Thus any term can be found by multiplying the previous term by [tex]\frac{1}{2}[/tex]

a₆ = [tex]\frac{1}{2}[/tex] × a₅ = [tex]\frac{1}{2}[/tex] × 1 = [tex]\frac{1}{2}[/tex]

a₇ = [tex]\frac{1}{2}[/tex] × a₆ = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

a₈ = [tex]\frac{1}{2}[/tex] × a₇ = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex] = [tex]\frac{1}{8}[/tex]