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4 years ago

What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5? 20 pts.

Mathematics

1 answer:

fgiga [73]4 years ago

6 0

ANSWER

$a_n = 11 - 3n$

EXPLANATION

The explicit rule for an arithmetic sequence is given by:

$a_n = a_1 + d(n - 1)$

It was given that:

$a_1 = 8$

and

$a_2 = 3$

The common difference is

$d = 5 - 8 = - 3$

We plug in the values into the explicit formula to get,

$a_n = 8+ - 3(n - 1)$

Expand to get,

$a_n = 8 - 3n + 3$

The explicit rule is

$a_n = 11 - 3n$

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2 years ago

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Pachacha [2.7K]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (1, -4) and (-2, 5).

Substitute:

$m=\dfrac{5-(-4)}{-2-1}=\dfrac{5+4}{-3}=\dfrac{9}{-3}=-3$

Substitute the value of a slope and the coordinates of the point (1, -4) to the equation of a line:

$-4=-3(1)+b$

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$-4+3=-3+3+b$

$-1=b\to b=-1$

Finally:

$y=-3x-1$

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3 years ago

The weight of people in a small town in missouri is known to be normally distributed with a mean of 154 pounds and a standard de

ad-work [718]

If a random sample of 20 persons weighed 3,460, the sample mean x-bar would be 3460/20 = 173 pounds.
The z-score for 173 pounds is given by:
$z=\frac{173-154}{29}=0.655$
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$P(\bar x\ \textless \ 173)=0.7454$
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4 years ago

Help with this math problem

marishachu [46]

see explanations

Step-by-step explanation:

Formula for mid-point is;

$midpoint=((x_1+x_2)/2,(y_1+y_2)/2)$