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Thepotemich [5.8K]
3 years ago
15

Write the rule for this pattern:2,4,7,14,17,34

Mathematics
1 answer:
Masja [62]3 years ago
6 0

Answer:

The rule is x₁ = 2   x₂ = x₁ * 2    x₃ = x₂ + 3    x₄ = x₃ * 2    x₅ = x₄ + 3 ...

Step-by-step explanation:

Unable to use a single equation to define this sequence

The rule is x₁ = 2   x₂ = x₁ * 2    x₃ = x₂ + 3    x₄ = x₃ * 2    x₅ = x₄ + 3 ...

Multiply 2 then Plus 3 then multiply 2 then plus 3 ......

2,4,7,14,17,34, 37, 74, 77, 154....

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Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

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For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}

<em>Now we can use property of radical  \sqrt{x}\sqrt{y}  =\sqrt{x*y}  to simplify:</em>

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