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3 years ago

Use the graph to write the explicit rule of the arithmetic sequence.

Mathematics

1 answer:

Igoryamba3 years ago

6 0

Answer:

$f_n=7+\left(-2\right)\left(n-1\right)$

Therefore, option C is true.

Step-by-step explanation:

From the graph, we get the sequence

7, 5, 3, 1, ...

Here,

a₁ = 7 is the first element.

An arithmetic sequence has a constant difference 'd' and is defined by

$f_n=a_1+\left(n-1\right)d$

computing the differences of all the adjacent terms

$5-7=-2,\:\quad \:3-5=-2,\:\quad \:1-3=-2$

The difference between all the adjacent terms is the same and equal to

$d=-2$

substituting a₁ = 7 and d = -2 in the nth term of the sequence

$f_n=a_1+\left(n-1\right)d$

$f_n=7+\left(-2\right)\left(n-1\right)$

Therefore, option C is true.

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Answer:

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Step-by-step explanation:

We are given the following information in the question:

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Standard deviation = $\sqrt{6.2} = 2.49$

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S = (-5,0)

T = (2,1)

Step-by-step explanation:

Step 1 :

Given

Q = (3,6) and R = (-4,5). P = (-1,3)

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Step 2 :

P is the midpoint of QS

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=> a = -5 and b =0

So S should be (-5,0)

Step 3 :

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Step 4 :

Answer :

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