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polet [3.4K]
3 years ago
13

Which of the following is an example of a recursive sequence? 2, 5, 8, 11, ... 1, 3, 9, 27, ... 2, 4, 6, 10, ...

Mathematics
2 answers:
kogti [31]3 years ago
8 0

Answer:

2, 4, 6, 10, ... is the answer :)

Step-by-step explanation:

Mazyrski [523]3 years ago
6 0
<span>2, 5, 8, 11, ... and 1, 3, 9, 27, ... are examples of a recursive sequence.</span>
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Answer:

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Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

x_{1}=\sqrt{5}\:x_{2}=2

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form x'=\sqrt{a}+b  then its conjugate x''=\sqrt{a}-b. is also a root of this polynomial.

Therefore

x_3=-\sqrt{5}

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30

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