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3 years ago

How do I write the rule for the nth term of the sequence -4, 8, -12, 16?

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

Step-by-step explanation:

The result of adding a number plus the next number will be alternating 4,-4,4,-4,4,-4......

-4+8 = 4

8+ -12= -4

-12 +16 =4

16+-20=-4

-20 + 24=4

24+-28 = -4

So you need to calculate what number plus the previous number has as result 4 or -4 alternating

8 + ? = -4

?= -4 -8

?=-12

-12+? =4 ?=12+4 ?=16

16+? =-4 / = -16-4 ?=-20

ANOTHER METHOD

4*-1=-4

4*2=8

4*-3=-12

4*4 = 16

4*-5=-20

4*6=24

4*-7=-28

4*8=32

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Answer:

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3 years ago

Arrange the pairs of points in increasing order of slopes of the lines joining them

sladkih [1.3K]

Answer:

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

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Step-by-step explanation:

Formula for slope of a line is

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

a) (15,30) and (20,40).

$m_a=\dfrac{40-30}{20-15}=\dfrac{10}{5}=2$

Similarly find the slope of other lines.

b) (12,32) and (18,48).

$m_b=\dfrac{48-32}{18-12}=\dfrac{16}{6}=2.67$

c) (27,12) and (72,32).

$m_c=\dfrac{32-12}{72-27}=\dfrac{20}{45}=0.44$

d) (45,15) and (60,20).

$m_d=\dfrac{20-15}{60-45}=\dfrac{5}{15}=0.33$

e) (27,2) and (243,18).

$m_e=\dfrac{18-2}{243-27}=\dfrac{16}{216}=0.074$

f) (18,63) and (24,84).

$m_f=\dfrac{84-63}{24-18}=\dfrac{21}{6}=3.5$

g) (63,9) and (84,12).

$m_g=\dfrac{12-9}{84-63}=\dfrac{3}{21}=0.143$

After arranging the slopes in increasing order, we get

$m_e$

So, required arrangement of ordered pairs is

(27,2) and (243,18)

(63,9) and (84,12)

(45,15) and (60,20)

(27,12) and (72,32)

(15,30) and (20,40)

(12,32) and (18,48)

(18,63) and (24,84)

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3 years ago

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disa [49]

Look kid, this question has been up for 17 hours think its time to let it go......... hoped i helped. ✔verified✔

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3 years ago

In a factory A, about 3 out of every 2,000 toys have a defect. In factory B, about 5 out of every 4,500 toys have a defect. One

gavmur [86]

Answer:

Step-by-step explanation:

Factory A proportion:

3 : 2,000

Factory B proportion:

5 : 4,500 (this can be simplified):

1 : 900

Now plug in 18,000 to each proportion:

Factory A:

x : 18,000

3 : 2,000

x = 27

Factory B:

x : 18,000

1 : 900

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3 years ago

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Igoryamba

The Answer Will Be 7:4

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3 years ago