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Romashka [77]
3 years ago
8

What is the explicit formula that represents the following sequence? {1,-6,36,-216...} A5

Mathematics
2 answers:
Andrew [12]3 years ago
8 0
N=#

-6(n)
I think this is the answer
ArbitrLikvidat [17]3 years ago
7 0
We see this a geometric sequcne because each term is -6 times of the previous term

an=a1(r)^(n-1)
an=nth term
a1=first term
r=common ratio
n=which term


we see that it multiplies by -6 each time
and the first term is 1

so r=-6
a1=1

an=1(-6)^(n-1)
the explicit formula is
a_n=1(-6)^{n-1}

and a5=1(-6)^(5-1)=1(-6)^4=1296
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Step-by-step explanation:

Marge drive 290 miles in five hours, her trip has two stages

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We need to find how fast Marge drove on the interstate

Assume that she drove by speed x miles per hour on interstate

∵ Distance = speed × time

∵ Her speed on the interstate is x mph

∵ The time of interstate is 3 hours

∴ The distance of interstate = x × 3 = 3x miles

∵ The time of the total trip is 5 hours

∵ She spent 3 hours on the interstate

∴ The time of the remainder of the trip = 5 - 3 = 2 hours

∵ She reduced her speed 20 mph for the remainder of the trip

∴ Her speed on the remainder of the trip = x - 20 mph

∴ The remainder distance = (x - 20) × 2

∴ The remainder distance = 2x - 40 miles

∵ The total distance of the trip is 290 miles

- Equate the sum of the two distances above by 290

∴ 3x + 2x - 40 = 290

- Add the like terms in the left hand side

∴ 5x - 40 = 290

- Add 40 to both sides

∴ 5x = 330

- Divide both sides by 5

∴ x = 66

Marge drove by 66 miles per hour on the interstate

Learn more:

You can learn more about speed, time and distance in brainly.com/question/9998060

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The mean is equal for Group A and Group B.

<h2>Given </h2>

Two groups of students were asked how far they lived from their school.

The table shows the distances in miles:

Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2

Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8

<h3>What is mean?</h3>

The mean of any data set or observation is equal to the sum of all the observations and divided by the number of observations.

The formula used to calculate the mean is;

\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}

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\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm GroupA \ mean = \dfrac{1 + 1.5 + 3.03 + 3.2 + 2.8 + 1.5 + 1.8 + 2.5 + 2.2}{9 }\\\\\rm Group A \ mean=\dfrac{ 19.53}{9}\\\\ Group A \ mean = 2.17

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\rm Mean  = \dfrac{Sum \ of \ all \ observation}{Number \ of \ obrservation}\\\\\rm Group B \ mean = \dfrac{2 + 2.5 + 3.23 + 1.3 + 1.8 + 2.4 + 3 + 1.5 + 1.8}{9} \\\\Group B \ mean = \dfrac{19.53}{9}\\\\ Group B \ mean = 2.17

Hence, the mean is equal for Group A and Group B.

To know more about Mean click the link given below.

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