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3 years ago

Write an equation for the nth term of the arithmetic sequence. 17, 12, 7, 2, ... an=

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

Answer:

An equation for the nth term of the arithmetic sequence 17, 12, 7, 2 is 17-5n.

Step-by-step explanation:

Given,

first term(a)=17

common difference (d)=t2-t1

=12-17

=-5

nth term of the arithmetic sequence = a+n×d

=17+n×-5

=17-5n

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S_A_V [24]

Taking $y=y(x)$ and differentiating both sides with respect to $x$ yields

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Solving for the first derivative, we have

$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y$

Differentiating again gives

$\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0$

Solving for the second derivative, we have

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}$

Now, when $x=1$ and $y=2$ , we have

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3 years ago

Two angles of a quadrilateral are 40 degree and 60 degree and the ratio of remaining two angles is 7:6. The degree measure of re

Semenov [28]

Answer:

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Step-by-step explanation:

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360-100=260

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therefore:

$\frac{7}{13} \times 260$

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2 years ago

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Since O is midpoint of the line segment AB.

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$10-7=3\ in.$

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xxTIMURxx [149]

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