The next two terms are: 1/2 and 1/4
note: in decimal form, 1/2 = 0.5 and 1/4 = 0.25
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Step-by-step explanation:
This sequence is geometric with the common ratio r = 1/2 = 0.5
Multiply each term by 1/2 to get the next
16 times 1/2 = 16 times 0.5 = 8
8 times 1/2 = 8 times 0.5 = 4
4 times 1/2 = 4 times 0.5 = 2
2 times 1/2 = 2 times 0.5 = 1
1 times 1/2 = 1/2 = 0.5
1/2 times 1/2 = 1/4 = 0.25
So that's how we end up with 1/2 = 0.5 and 1/4 = 0.25 as the next two terms.
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As a shortcut, you can use the nth term formula
an = 16*(1/2)^(n-1)
and plug in n = 6 and n = 7 to generate the next two terms a6 and a7. You should get 1/2 and 1/4 as your results.