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3 years ago

8. A sequence can be generated by using 2n - 11. What are the first four terms in the sequence?

Mathematics

1 answer:

Lapatulllka [165]3 years ago

7 0

Answer:

$\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}$

Step-by-step explanation:

$a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3$

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Answer it pls and explain too

snow_tiger [21]

Answer:

y-intercept: (0, 5); slope: 1/4

Step-by-step explanation:

The slope (m) is found from ...

m = (y2 -y1)/(x2 -x1)

Using the first two points in the table, this is ...

m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C

Then, the point-slope form of the equation of the line can be written as ...

y -y1 = m(x -x1)

y -6 = (1/4)(x -4) . . . fill in known values

y = 1/4x -1 +6 . . . . . add 6

y = 1/4x +5

Then the value of y when x=0 is ...

y = 0 +5 = 5

So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.

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3 years ago

BC = x + 14, AB = x + 10, AC = 22

irinina [24]

$ab = x + 10 \\ bc = x + 14 \\ ac = 22 \\ (x + 10) + (x + 14) = 22 \\ x + x + 10 + 14 = 22 \\ 2x + 24 = 22 \\ 2x = 22 - 24 \\ 2x = - 2 \\ x = \frac{ -2}{2} \\ x = - 1$

4 0

3 years ago

(x + 13y) + 8y=<br> :\ This is so confusing

anygoal [31]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 78 feet and then dr

QveST [7]

Answer:

14 feet below. the deck.

Step-by-step explanation:

That would be (20 + 78 - 85 +103 - 110 ) feet above the ground

= 6 feet above the ground.

That is 20 - 6 = 14 feet below the deck.

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3 years ago

Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample standard deviation i

Viefleur [7K]

Answer:

3.188

Step-by-step explanation:

Given that :

Sample data: 26.5, 28, 30.2, 29.6, 32.3, 24.7

Sample standard deviation (s) = 2.728

Mean (mu) = 25

Tstatistic formula :

(x - mu) / (s/sqrt(n))

n = sample size = 6 ; s = 2.728 ; mu = 25

Sample mean (x) = (26.5 + 28 + 30.2 + 29.6 + 32.3 + 24.7) / 6

Sample mean (x) = 171.3 / 6 = 28.55

Tstatistic = (28.55 - 25) / (2.728 / sqrt(6))

Tstatistic = 3.55 / 1.1137013

Tstatistic = 3.1875692

3 0

3 years ago