2 years ago

Write an expression to describe a rule for the sequence then find the one hundredth term in the sequence

Mathematics

1 answer:

Artyom0805 [142]2 years ago

3 0

T(100) = 1st term + (100-1)difference between terms

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2 years ago

If a/\2+1/a/\2=11, then a+1/a=?

Nadya [2.5K]

Answer:

$\pm \sqrt{13}$

Step-by-step explanation:

$\bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13}$

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3 years ago

What is the diameter of a human hair written in scientific notation?

Ymorist [56]

diameter of human hair is around 0.0025cm

in scientific notation it is: 2.5x10^-3

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2 years ago

Arrange the slopes from flattest to steepest.<br><br> -3/2, 0, 4/3, undefined

Dovator [93]

To arrange the slopes we need to take their absolute values.
1. U<span>ndefined slope means a vertical line, so it is going to be steepest.
2.|4/3| = 4/3
3.|-3/2| = 3/2
4. 0 means horizontal line.

</span>From flattest to steepest: 0, -3/2, 4/3, undefined.

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3 years ago

PRECALC QUESTION! Convert the polar representation of this complex number into its standard form: z = 2(cos 11pi/6+ i sin 11pi/6

Tanzania [10]

$\bf z=2\left[ cos\left( \frac{11\pi }{6} \right) + i\ sin\left( \frac{11\pi }{6} \right) \right]\qquad 
\begin{cases}
r=2\\
\theta=\frac{11\pi }{6}\\
-----\\
a=x=rcos(\theta)\\
b=y=rsin(\theta)
\end{cases}\implies a+bi
\\\\\\
2cos\left( \frac{11\pi }{6} \right)+2sin\left( \frac{11\pi }{6} \right)\ i\implies 2\cdot \cfrac{\sqrt{3}}{2}+2\cdot \cfrac{-1}{2}\ i\implies \sqrt{3}-1i
\\\\\\
\boxed{\sqrt{3}-i}$

7 0

2 years ago

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