All categories

2 years ago

In the following series, what two numbers come next? 2, 88, 80, 16, 11, 3, 30, 95

Mathematics

1 answer:

Liono4ka [1.6K]2 years ago

5 0

A series can be arithmetic, geometric or neither

The two numbers that come next are 87 and 44

<h3>How to determine the complete series</h3>

The series is given as:

2, 88, 80, 16, 11, 3, 30, 95

In the above series, every 3rd number have a difference of 14.

So, we have:

[2], 88, 80, [16], 11, 3, [30], 95, __, [44]

The difference between other adjacent numbers is 8.

So, we have:

88 - 80 = 8

11 - 3 = 8

95 - x = 8

Collect like terms

x = 95 - 8

Evaluate the like terms

x = 87

So, the complete series is:

[2], 88, 80, [16], 11, 3, [30], 95, 87, [44]

Hence, the two numbers that come next are 87 and 44

You might be interested in

Find the value of x and y.<br><br>help me out ASAP!!

il63 [147K]

Step-by-step explanation:

13x + 15 = 19x - 9 ( being opposite sides of parallelogram)

19x - 13x = 15 + 9

6x = 24

x = 24 / 6

x = 4

4y + 7° + 10y - 37° = 180° {being co-interior angles }

14y = 180° - 7° + 37°

14y = 210°

y = 210°/ 14

y = 15°

Hope it will help :)

3 0

3 years ago

Which relationship is NOT a function?<br><br> HELPPP!!!!!!!!!! HELP!!!!!!

aalyn [17]

Answer:

I think that it is the one on the bottom left

Step-by-step explanation:

I am so sorry if it is wrong he he

4 0

3 years ago

20 POINTS BRAINLIEST math

8090 [49]

Answer:

OPTION C

Step-by-step explanation:

Given: $y = \sqrt{36 - 72} + 5$

This can be rewritten as: $y = \sqrt{36(x - 2)} + 5$

Also, since $\sqrt{ab} = \sqrt{a}.\sqrt{b}$

$\implies y = \sqrt{36}.\sqrt{x - 2} + 5$

We know that $\sqrt{36} = 6$

$\implies y = 6\sqrt{x - 2} + 5$

Hence, Option C would the answer.

6 0

3 years ago

Use De Moivre's theorem to write the complex number in trigonometric form: (cos(3pi/5) + i sin (3pi/5))^3

docker41 [41]

By De Moivre's theorem,

$\left(\cos\dfrac{3\pi}5+i\sin\dfrac{3\pi}5\right)^3=\boxed{\cos\dfrac{9\pi}5+i\sin\dfrac{9\pi}5}$

We can stop here ...

# # #

... but we can also express these trig ratios in terms of square roots. Let $x=\dfrac\pi5$ and let $c=\cos x$ . Then recall that

$\cos5x=c^5-10c^3\sin^2x+5c\sin^4x$

$\cos5x=c^5-10c^3(1-c^2)+5c(1-2c^2+c^4)$

$\cos5x=16c^5-20c^3+5c$

On the left, $5x=\pi$ so that

$16c^5-20c^3+5c+1=(c+1)(4c^2-2c-1)^2=0$

Since $c=\cos\dfrac\pi5\neq1$ , we're left with

$4c^2-2c-1=0\implies c=\dfrac{1+\sqrt5}4$

because we know to expect $\cos x>0$ . Then from the Pythagorean identity, and knowing to expect $\sin x>0$ , we get

$\sin x=\sqrt{1-c^2}=\sqrt{\dfrac58-\dfrac{\sqrt5}8}$

Both $\cos$ and $\sin$ are $2\pi$ -periodic, so that

$\cos\dfrac{9\pi}5=\cos\left(\dfrac{9\pi}5-2\pi\right)=\cos\left(-\dfrac\pi5\right)=\cos\dfrac\pi5$

and

$\sin\dfrac{9\pi}5=\sin\left(-\dfrac\pi5\right)=-\sin\dfrac\pi5$

so that the answer we left in trigonometric form above is equal to

$\cos\dfrac\pi5-i\sin\dfrac\pi5=\boxed{\dfrac{1+\sqrt5}4+i\sqrt{\dfrac58+\dfrac{\sqrt5}8}}$

7 0

3 years ago

If the angles<br> are represented in degrees, find both angles:<br> sin(x + 7) = cos(4x + 8)

ValentinkaMS [17]

Answer:

x = -1/3

Step-by-step explanation:

We have,

sin(x + 7) = cos(4x + 8)

We need to find the value of x.

We know that,

sin(90-x) = cosx

So,

sin(90-(x + 7)) = cos(4x + 8)

cos(x+7) = cos(4x + 8)

i.e.

(X+7) = (4x+8)

7-8 = 4x-x

-1 = 3x

x = -1/3

7 0

3 years ago

Read 2 more answers

In the following series, what two numbers come next? 2, 88, 80, 16, 11, 3, 30, 95​

In the following series, what two numbers come next? 2, 88, 80, 16, 11, 3, 30, 95