High School

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Describe the pattern below and write another pattern that has the same fourth value. Then, describe your pattern.

Pattern: 0.41, 0.82, 1.64, 3.28

Answer :

Answer:

times 2

Step-by-step explanation:

0.41*2=0.82

0.82*2=1.64

divide by 2...pattern is 3.28,1.64,0.82,0.41

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Rewritten by : Barada

Another pattern with the same fourth term is one where to get the next term in the sequence we multiply the previous one by -2, and the first term is -0.41,

Analyzing the given pattern.

We have the pattern:

0.41, 0.82, 1.64, 3.28

Is ratter easy to see that it is a geometric sequence, such that each term is twice the previous term:

  • 0.82 = 2*0.41
  • 1.64 = 2*0.81
  • 3.28 = 2*1.64

Now we just want to make another pattern that has the same fourth term, so we can play with the given pattern.

Suppose we start with -0.41, and instead of by 2, we multiply each time by -2, then we get:

  • a₁ = -0.41
  • a₂ = (-2)*(-0.41) =0.82
  • a₃ = (-2)*(0.82) = -1.64
  • a₄ = (-2)*(-1.64) = 3.28

And so on, so we just found another pattern that has the same fourth term, but behaves differently.

If you want to learn more about sequences, you can read:

https://brainly.com/question/9300199