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Sveta_85 [38]
3 years ago
15

Find a recursive formula for the sequence: 3, -5, 11, -21

Mathematics
1 answer:
vekshin13 years ago
3 0

The correct option is the last:

a_n = -2a_{n-1}+1

In fact, every term in the sequence is one more than twice the opposite of the previous one:

We start with 3. Twice its opposite is -6. Plus one, we get -5.

We start with -5. Twice its opposite is 10. Plus one, we get 11.

We start with 11. Twice its opposite is -22. Plus one, we get -21.

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-2x + 3y =-9<br> X+y = 2
geniusboy [140]

Answer:

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

Step-by-step explanation:

Given equations are -2x+3y=-9\hfill (1)

x+y=2\hfill (2)

To solve given equations by using elimination method :

Mutliply the equation (2) into 2 we get

2x+2y=4\hfill (3)

Now adding the equations (1) and (3)

-2x+3y=-9

2x+2y=4

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5y=-5

y-\frac{5}{5}

Therefore y=-1

Now substitute the value of y=-1 in the equation (1) we get

-2x+3(-1)=-9

-2x-3=-9

-2x=-9+3

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Therefore x=3

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

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2 years ago
Find the slope between the<br> following points:<br> (-1,19) and (11,16)
patriot [66]

Answer:

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Step-by-step explanation:

y=mx+n

Slope=m=(y2-y1)/(x2-x1)

A(-1,19).... x1 =-1, y1=19

B(11,16)..... x2=11, y2=16

Slope=(16-19)/(11-(-1))=(-3)/(11+1)=-3/12=-1/4

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