Each number is 0.5 times the previous number
The next three numbers are 0.0025, 0.00125, and 0.000625
Step-by-step explanation:
The formula of the nth term of the geometric sequence is
[tex]a_{n}=a(r)^{n-1}[/tex] , where;
- a is the first term
- r is the common ratio between the consecutive terms
∵ The pattern is : 0.04 , 0.02 , 0.01 , 0.005
- Divide each two consecutive terms to check if there is
a common ratio
∵ 0.02 ÷ 0.04 = 0.5
∵ 0.01 ÷ 0.02 = 0.5
∵ 0.005 ÷ 0.01 = 0.5
∴ There is a common ratio 0.5 between each two consecutive terms
∴ The pattern is a geometric sequence with first term 0.04
and common ratio 0.5
∴ [tex]a_{n}=0.04(0.5)^{n-1}[/tex]
Each number is 0.5 times the previous number
To find the next 3 numbers multiply each previous number by 0.5
∵ 0.005 × 0.5 = 0.0025
∵ 0.0025 × 0.5 = 0.00125
∵ 0.00125 × 0.5 = 0.000625
∴ The next three numbers are 0.0025 , 0.00125 , 0.000625
The next three numbers are 0.0025, 0.00125, and 0.000625
Learn more:
You can learn more about the sequences in brainly.com/question/2491745
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