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Vlada [557]
3 years ago
5

Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.

Mathematics
2 answers:
Ilya [14]3 years ago
6 0
-10, -12, -14, -16, -18, -20, -22, -24, -26,-28.
Hope this helps :)
AURORKA [14]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Given that the first term is - 10 and the common difference between consecutive terms is - 2, then

To obtain the next term from the previous term subtract 2 from it

- 10 - 2 = - 12, - 12 - 2 = - 14, - 14 - 2 = - 16, - 16 - 2 = - 18 and so on

The first 10 terms are

- 10, - 12, - 14, - 16, - 18, - 20, - 22, - 24, - 26, - 28

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WORTH 20 POINTS HELP
vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

So, we have:

QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}

RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}

ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}

TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

QR = \frac{9 + 1}{2 + 3} = \frac{10}3

RS = \frac{5-9}{-4 - 2} = \frac{2}3

ST = \frac{5+5}{-4 + 7} = \frac{10}3

TQ = \frac{-5+1}{-7 + 1} = \frac{2}3

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

#SPJ1

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