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kirill [66]
2 years ago
8

What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...

Mathematics
1 answer:
storchak [24]2 years ago
6 0

Answer:

The nth term of the given sequence  tₙ = 3 n - 7

Step-by-step explanation:

Given sequence   - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

     The nth term of given sequence

   t _{n} = a + ( n-1 ) d

  = -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7

<u><em>Final answer:</em></u>-

The nth term of the given sequence  tₙ = 3 n - 7

         

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fiasKO [112]

Answer:

coordinates of its image

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

Step-by-step explanation:

Reflect in y-axis means mirror it's points in the y -axis.

This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.

(Remember, zero multiplied by -1 remains 0).

Given are these points A, B, and C.

A = (4, -1)

B = (3,-3)

C = (0, 2)

After mirroring in the y- axis you get:

A' = ( -4, -1)

B' =( -3, -3)

C' = ( 0, 2)

8 0
2 years ago
Human beings have discovered an inhabitable planet and soon after, they find 10 more inhabitable planets. Of these 11, only 5 ar
Tatiana [17]

5 of the planets are earth like and 2 are mars like

5 * 2 = 10

<u>1 * 2 = 2</u>

Total 12

4 earth like and 4 mars like

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<u>Mars = 4 * 1 = 4</u>

Total 12

3 Like Earth 6 like mars

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<u>Mars 6 * 1 = 6</u>

Total 12

Those answers are the only ones possible.

3 0
3 years ago
I need help with this question
densk [106]

Answer:

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Hence we have a scale factor of

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3 0
3 years ago
Solve the following inequality.
melisa1 [442]

Answer:

A number line going from 27 to 37, open circle at 32, everything to the right is shaded

Step-by-step explanation:

-1/2p < -16

multiply each side by -2 (don't forget to switch inequality symbol)

p > 32

8 0
2 years ago
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The numerical value of the variance a. is negative if the mean is negative. b. is always larger than the numerical value of the
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Answer:

Step-by-step explanation:

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Being the sum of squares variance can never be negative irrespective of mean being negative.

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Hence option d is right.

8 0
3 years ago
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