MATHEMATICS COLLEGE

Find the next three terms in the geometric sequence. 2,-16,128,-1024,...

Answers

Answer 1

Answer:

Answer:8192,-65536,524288

Step-by-step explanation:

2,-16,128,-1024,....

First term=a=2

Common ratio=r=-16/2=-8

Using the formula

Tn=a x r^(n-1)

T5=2 x (-8)^(5-1)

T5=2x (-8)^4

T5=2x4096

T5=8192

T6=2x(-8)^(6-1)

T6=2x(-8)^5

T6=2x-32768

T6=-65536

T7=2x(-8)^(7-1)

T7=2x(-8)^6

T7=2x262144

T7=524288

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The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 cm, find its area.

Answers

Answer:

width=25/3

Length=75/3

Step-by-step explanation:

Given

Perimeter=50

Let width=x

Length=4x

So perimeter =2(length+width)

2(length+width)=50

2(X+2x)=50

3x=25

X=25/3

So width=25/3

Length=75/3

Find the Pythagorean triplet in which one number is 32

Answers

Answer:

What is the Pythagorean triplet of 32?

But 32/2 = 16 which is even so:

But 32/4 = 8 which is even so:

But 32/8 = 4 which is even so:

Answer:

Answer in explanation below.

Step-by-step explanation:

32² => 1024 => 1024/4 => 256 => 256 + 1 = 257, 256 - 1 = 255: 32, 255, 257

16² => 256 => 256/4 => 64 => 64 + 1 = 65, 64 - 1 = 63: 2 x ( 16, 63, 65) = 32, 126, 130

8² => 64 => 64/4 => 16 => 16 + 1 = 17, 16 - 1 = 15: 4 x ( 8, 15, 17) = 32, 60, 68

4² => 16 => 16/4 => 4 => 4 + 1 = 5, 4 - 1 = 3: 8 x ( 4, 3, 5) = 32, 24, 40

I'LL MARK THE BRAINLIEST
What is the exact circumference of the circle?

Answers

Answer: c=2πr

Step-by-step explanation:

because im just that guy

Answer:

c=62.8

Step-by-step explanation:

diameter=20

radius=10

c=2πr

c=2×22/7×10

c=62.8

-1 7/9 is the same as them sum of -2 5/6 and 1/3 times a number. what is the number?

Answers

-1 7/9= -2 5/6 + 1/3x
+2 5/6 to each side
-1 7/9 + 2 5/6 = 1 1/18

1 1/18 = 1/3x
Divide each side by 1/3

Answer is 3 1/6

Find the indicated probability. a bag contains four chips of different colors, including red, blue, green, and yellow. a chip is selected at random from the bag and then replaced in the bag. a second chip is then selected at random. make a list of the possible outcomes (for example rb represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (hint: there are 16 possible outcomes.)

Answers

Answer:

0.25

Step-by-step explanation:

Let

r = red

b = blue

g = green

y = yellow

If the first chip is r, the second can be r, b, g or y. The 4 possibilities are rr, rb, rg, ry.
If the first chip is b, the second can be r, b, g or y. The 4 possibilities are br, bb, bg, by.

If the first chip is g, the second can be r, b, g or y. The 4 possibilities are gr, gb, gg, gy.

If the first chip is y, the second can be r, b, g or y. The 4 possibilities are yr, yb, yg, yy.

From the 4 + 4 + 4 + 4 = 16 possible outcomes, there are 4 in which the chips are of the same color (rr, bb, gg, yy). The probability that the two chips selected are the same color is

4/16 = 0.25 = 25%

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