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3 years ago

Nth term of the sequence 8,48,288

Mathematics

1 answer:

Kruka [31]3 years ago

8 0

Answer:

Step-by-step explanation:

$a_1=8\\a_2=48\\a_3=288\\\\288:48=6\\48:8=6\\\\ \dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}= 6$

Therefore it's geometric sequence with common ratio of 6

$a_n=a_1\cdot r^{n-1}\\\\a_1=8\\r=6\\\\a_n=8\cdot6^{n-1}$

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MatroZZZ [7]

Answer:

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Step-by-step explanation:

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3 years ago

In a shipment of onions , 12% are damaged. 1114 onions are undamage. find the total number of onions in the shipment

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3 years ago

Anyone know this?? it’s finding the sine of a triangle!!

LenKa [72]

Answer:

I'm not sure what you want me to answer from this, so I solved for every variable:

Angle A: 83°

Side b: 6.29

Side c: 5.8

Step-by-step explanation:

-----Angle A:

Since the sum of the interior angles of a triangle ALWAYS equal 180°, we can solve for angle A as follows:

$A+51+46=180\\A+97=180\\A=83$

-----Side b:

Here, we use the sin rule for finding sides, since we know all of the angles as well as one side:

$\frac{a}{sin(A)} =\frac{b}{sin(B)} \\\frac{8}{sin(83)} =\frac{b}{sin(51)} \\8.06=\frac{b}{0.78} \\6.29=b$

-----Side c:

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7 0

2 years ago

Read 2 more answers

Divide (x^3-20x+16)/(x-4)

Lorico [155]

$\frac{( x^{3}-20x+16) }{(x-4)}$

Use the rational root theorem:
$a_{o}$ =16, $a_{n}$ =1

The dividers of $a_{o}$ : 1,2,4,8,16
The dividers of $a_{n}$ : 1

Therefore, check the following rational numbers: +- $\frac{1,2,4,8,16}{1}$

$\frac{4}{1}$ is a root of the expression, so factor out x-4

Compute $\frac{ x^{3}-20x+16 }{x-4}$ to get the rest of the equation.

$\frac{(x-4)( x^{2} +4x-4)}{x-4}$

Cancel the common factor:
$x^{2}+4x-4$ is the final answer

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3 years ago

Read 2 more answers

Twice c is equal to 44

Juliette [100K]

Answer:

C=44/2

c=22

Two time c is equal to 44

one time c is equal to 22

5 0

3 years ago