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4 years ago

What is the rescursive formula for this geometric sequence? 7, -14, 28, -56

Mathematics

2 answers:

Anastasy [175]4 years ago

5 0

Well, from looking at the numbers listed, they’re all multiplied by -2, (negative two) and so on, as you go through the number sequence.

d1i1m1o1n [39]4 years ago

3 0

What is the recursive rule for a geometric sequence? It is this one:

an = an-1*r(I inserted a pic so you know how it actually looks like)
The sequence is 7, -14, 28, -56

To find r you divide the 2nd term by the first one. Then the third one by the second one. And so on. When you do this you will find that r= -2. All you have to do for the recursive rule is plug in r. So the formula for the sequence is

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If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?

makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

(x)+cos

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

(x)+(1/4)

\sin^2(x) + 1/16= 1sin

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

∗

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

6 0

2 years ago

Read 2 more answers

Find the probability of getting tails on every toss of a coin when the coin is tossed 5 times.

icang [17]

Answer:

1/10, or 10%

Step-by-step explanation:

There are 2 outcomes you can get from one toss, heads and tails. Therefore, if you tossed it once, the probability of landing tails would be 1/2, or 50%. Since you toss it 5 times, you will multiply the probability of one toss by five. 1/2x5 = 1/10, so your probability of landing tails on every toss when thrown 5 times is 1/10, or 10% :)

5 0

3 years ago

Examine the system of equations.

MrMuchimi

answer:

$x = - 2 \\ y = 2 \\ \\ ( - 2, \: 2)$

explanation:

$y = - \frac{1}{2} x + 1 \\ y = 2x + 6 \\ first \: equation \: add \: \frac{1}{2} from \: both \\ sides \\ \\ second \: equation \: subtract \: 2x \: from \\ both \: sides \\ \\ y + \frac{1}{2} x = 1 \\ y - 2x = 6 \\ solve \: the \: first \: equation \\ \\ y + \frac{1}{2} x = 1 \\ subtract \: \frac{x}{2} from \: both \: sides \\ \\ y = - \frac{1}{2} x + 1 \\ substitute \: - \frac{x}{2} + 1 \: for \: y \: in \: the \\ other \: equation \\ \\ - \frac{1}{2} x + 1 - 2x = 6 \\ add \: \frac{1}{2} x \: to \: 2x \\ \\ - \frac{5}{2} x + 1 = 6 \\ subtract \: 1 \: from \: both \: sides \\ \\ - \frac{5}{2} x = 5 \\ divide \: both \: sides \: by \: - \frac{5}{2} \\ \\ x = - 2 \\ substitute \: the \: value \: of \: x \: into \\ an \: equation \\ \\ y = - \frac{1}{2} ( - 2) + 1 \\ distribute \\ \\ y = 1 + 1 \\ add \\ \\ y = 2 \\ \\ ( - 2, \: 2)$

7 0

3 years ago

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

Rzqust [24]

Answer:

a = 6 or 9

Step-by-step explanation:

The "a", "b", and "c" of the quadratic formula are the coefficients of a², a, and the constant term in the given equation:

... a = 2, b = -30, c = 108

Then the quadratic formula tells you the solutions are ...

... (-b ± √(b² -4ac))/(2a)

... = (-(-30) ± √((-30)² -4(2)(108)))/(2(2))

... = (30 ± √(900 -864))/4

... = (30 ± √36)/4

... = (30 ± 6)/4 = {24, 36}/4

... = {6, 9}

_____

The <em>a</em> variable should not be confused with the "a" that is used to name the coefficient of the square of the variable in the quadratic formula. If it is too confusing, rewrite one or the other. For example, you could write ...

... The solution to pa² +qa +r = 0 is ... a = (-q ± √(q²-4pr))/(2p)

where p=2, q=-30, r=108 in the given equation.

5 0

3 years ago

What is the name of the song 50 points and brainliest.

solong [7]

Answer:

Butterflies

Step-by-step explanation:

Thanks

6 0

3 years ago