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Katyanochek1 [597]
3 years ago
11

What are the first 5 terms of the sequence where a=1 a, a2=2 and an=1/2(a n-1•a n-2)

Mathematics
1 answer:
Sliva [168]3 years ago
7 0

Answer:

\large\boxed{a.\ 1,\ 2,\ 1,\ 1,\ \dfrac{1}{2}}

Step-by-step explanation:

We have the recursive formula of a sequence:

\left\{\begin{array}{ccc}a_1=1\\a_2=2\\a_n=\dfrac{1}{2}(a_{n-1}\cdot a_{n-2})\end{array}\right\\\\\text{thereofre}\\\\a_3=\dfrac{1}{2}(a_2\cdot a_1)=\dfrac{1}{2}(2\cdot1)=\dfrac{1}{2}(2)=1\\\\a_4=\dfrac{1}{2}(a_3\cdot a_2)=\dfrac{1}{2}(1\cdot2)=\dfrac{1}{2}(2)=1\\\\a_5=\dfrac{1}{2}(a_4\cdot a_3)=\dfrac{1}{2}(1\cdot1)=\dfrac{1}{2}(1)=\dfrac{1}{2}

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P = 4x + 2y

additional info.
<span>x+2y  <u><</u> 10
y <u><</u> 2
x <u>></u> 0
y <u>></u> 0

y can only be 0, 1, and 2.

x + 2(0) <u><</u> 10 = x <u><</u> 10
x + 2(1) <u><</u> 10 = x + 3 <u><</u> 10 = x <u><</u> 10 - 3 = x <u><</u> 7
x + 2(2) <u><</u> 10 = x + 4 <u><</u> 10 = x < 10 - 4 = x <u><</u> 6

x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
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The maximum value of P is 40. Where x is 10 and y is 0.</span>
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Answer:

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Step-by-step explanation:

If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.

From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°

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