3 years ago

Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....

Mathematics

1 answer:

Dafna11 [192]3 years ago

4 0

Answer:

$a_{n}$ = - 2 $a_{n-1}$

Step-by-step explanation:

A geometric recursive formula has the form

$a_{n}$ = r $a_{n-1}$

where r is the common ratio

Here r = - 14 ÷ 7 = - 2, thus

$a_{n}$ = - 2 $a_{n-1}$ with a₁ = 7

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Given: x + 2y = -6. Solve for y.

zavuch27 [327]

Answer:

The answer is option 3.

Step-by-step explanation:

The steps are :

$x + 2y = - 6$

$2y = -x - 6$

$y = \frac{ - x - 6}{2}$

7 0

3 years ago

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A painting has an area of 108 square inches. The dimensions of the painting are 12 and x + 3. What is the perimeter of the paint

dmitriy555 [2]

Answer:

42 inches square

Step-by-step explanation:

x=6

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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

Rainbow [258]

angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

Step-by-step explanation:

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

We can now find another angle using the sine rule:

⇒ $\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}$

⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

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4 years ago

the ratio of adults to children attending a new exhibit at the museum was found to be 8:5. based on this ratio if 390 people att

LenaWriter [7]

999

why becuase thats the answer mine had

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3 years ago

PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!

Elis [28]

yes because m<1+m<4 = 180 degrees

6 0

3 years ago