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3 years ago

For the series 16, 24, 36, 54,... find S7.

1 answer:

5 0

24 - 16 = 8
36 - 24 = 12
54 - 36 = 18

So, obviously, this isn't an arithmetic sequence.

24/16 = 3/2
36/24 = 3/2
54/36 = 3/2

Aha! This is a geometric sequence.

Now, let's find the 7th term in this sequence!

$a_n = a_1 \cdot r^{n-1}$

We're trying to solve for a_7.
We know that a_1 is 16
We know that n = 7
We know that r = 3/2 or 1.5

Plug it in!

$a_n = a_1 \cdot r^{n-1}\\\\a_7 =16 \cdot 1.5^{7-1}\\\\a_7 = 16 \cdot 1.5^6\\\\a_7 = 16 \cdot 11.390625\\\\\boxed{\bf{ a_7 = 182.25}}$

The seventh term is 182.25

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Evaluate the expression when a= 4, b= - 2, and c= 7 - -> 5a - 9 (b - c)

ollegr [7]

Answer:

$65$

Step-by-step explanation:

Given the following question:

$5a-9(b-c)$
a = 4
b = 2
c = 7

In order to find the answer, we need to substitute the variables with the numbers given, and then solve using PEMDAS.

$5\times4-9\times(2-7)$
$2-7=-5$
$5\times4-9\times-5$
$5\times4=20$
$20-9\times-5$
$9\times-5=-45$
$20--45$
$20+45=65$
$=65$

Hope this helps.

8 0

2 years ago

Which of the angles is inscribed in •X ?

ira [324]

Answer:

It is BFA

Step-by-step explanation:

An inscribed angle stays inside the circle. If you go through each angle options, the other angles go out of the circle. BFA is the only angle that stays inside the circle.

4 0

3 years ago

Read 2 more answers

I will give brainliest to whoever can answer this question. It’s due in 40 min Please help me )):

Aleonysh [2.5K]

Given:

$m\angle L=m\angle Z=70^\circ$

$m\angle N=m\angle Y=90^\circ$

To find:

The value of $m\angle 1$ .

Solution:

In triangle XYZ,

$m\angle Y=m\angle N=90^\circ$ (Given)

$m\angle Z=m\angle L=70^\circ$ (Given)

$m\angle X+m\angle Y+m\angle Z=180^\circ$ [Angle sum property]

$m\angle 1+90^\circ+70^\circ=180^\circ$

$m\angle 1+160^\circ=180^\circ$

$m\angle 1=180^\circ-160^\circ$

$m\angle 1=20^\circ$

Therefore, the $m\angle 1$ is 20°.

5 0

3 years ago

Plz help and thanks so much for it

kirza4 [7]

B+c+(c-b)+(b-c). That is your expression. b 11 c 16

First, let's convert the variables to real numbers: 11+16+(16-11)+(11-16)
Now, let's solve that equation. 11+16+5+(-5)
5+(-5) cancels out, so all we have left is: 27
That is your perimeter.

7 0

3 years ago

Solve the equation -31=-6z-4z

jok3333 [9.3K]

<span>-31=-6z-4z
Subtract 4z from -6z
-31=-10z
Divide both sides by -10
Final Answer: 3.1 or 3 1/10</span>

8 0

3 years ago