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3 years ago

What is the next three terms to a sequence -1/3125, 1/625, -1/125, 1/25

Mathematics

1 answer:

Natali [406]3 years ago

3 0

Answer:

-1/3125, 1/625, -1/125, 1/25 , -(1÷5) , 1 , -5

Step-by-step explanation:

1÷625÷(-1÷3 125) = -5

-1÷125÷(1÷625) = -5

(1÷25)÷(-1÷125) = -5

Then the common ratio of the geometric sequence is -5 then we keep multiplying by -5 each time to get the next term:

(1÷25)×(-5) = -(1÷5)

-(1÷5)×(-5) = 1

(1)×(-5) = -5

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Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

Irina18 [472]

Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k = $\frac{2}{3}$

(x, y) → $(\frac{2}{3}x, \frac{2}{3}y)$

By this rule coordinates of the image points of A and B will be,

A(8, 6) → $A'(\frac{2\times 8}{3},\frac{2\times 6}{3})$

→ A'(5.3, 4)

B(12, 12) → $B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})$

→ B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of $\frac{2}{3}$ .

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Answer:

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Step-by-step explanation:

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