4 years ago

The explicit rule for a sequence is given. an= 2/5 (5)^n−1

Mathematics

1 answer:

34kurt4 years ago

3 0

Step-by-step explanation:

A geometric series is:

an = a₁ (r)^(n-1)

Here:

an = 2/5 (5)^(n-1)

So a₁ = 2/5, and r = 5. So an = 5an-1.

Your answer is correct, well done!

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What are the coordinates of R' for the dilation D(0.5. p)(PQRS)?

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Answer:

$R' = (-1,-0.5)$

Step-by-step explanation:

See attachment for complete question.

From the attachment:

$P = (-3,-3)$

$R = (1,2)$

Dilation:

$D_{(0.5,P)}$

Required

Determine R'

First, subtract the coordinates of P from R. This means that R is measured from P.

$R = (1-(-3),2-(-3))$

$R = (1+3,2+3)$

$R = (4,5)$

Next, apply dilation factor 0.5

$R' = R * 0.5$

$R' = (4,5) * 0.5$

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$R' = (2,2.5)$

Lastly, measure R' from the origin by adding the coordinates of P to R'

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