Question

Describe the pattern. Find the next three numbers. 0.04, 0.02, 0.01, 0.005,... Each number is times the previous number. The next three numbers are , , and . I need serious help 30 points this assignment is about to be due

Answer 1

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

$a_{n}=a(r)^{n-1}$ , 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

∴ $a_{n}=0.04(0.5)^{n-1}$

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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