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sladkih [1.3K]
3 years ago
11

Help asaaaap explain please!!!!!

Mathematics
1 answer:
mariarad [96]3 years ago
6 0

Answer:

C

Step-by-step explanation:

Once

\sqrt{xy} = 6

We know that xy = 36

There are infinity values for x, y, but considering x, y \in \mathbb{Z}

Below we have all the solutions for x, y

Negative:

\\x = -36 \text{ and } y = -1\\x = -18 \text{ and } y = -2\\x = -12 \text{ and }  y = -3\\x = -9 \text{ and }  y = -4\\x = -6 \text{ and }  y = -6\\x = -4 \text{ and }  y = -9\\x = -3 \text{ and }  y = -12\\x = -2 \text{ and }  y = -18\\x = -1 \text{ and }  y = -36\\

Positives:

x = 36 \text{ and } y = 1\\x = 18 \text{ and } y = 2\\x = 12 \text{ and }  y = 3\\x = 9 \text{ and }  y = 4\\x = 6 \text{ and }  y = 6\\x = 4 \text{ and }  y = 9\\x = 3 \text{ and }  y = 12\\x = 2 \text{ and }  y = 18\\x = 1 \text{ and }  y = 36\\

We can see that x + y \neq 18

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Find an expression for the nth term (t_n) in each of the following​
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<h3><u>Answer:</u></h3>

\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \frac{1}{n}}}

<h3><u>Step-by-step explanation:</u></h3>

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

\boxed{\boxed{\blue{\qquad\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}}}}

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

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<u>Substituting the respective values,</u>

\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}

<h3><u>Hence the nth term of the given sequence is given by ¹/n .</u></h3>

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