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sashaice [31]
4 years ago
15

What is the common ratio for the geometric sequence? 24, -6, 3/2, -3/8, ...

Mathematics
2 answers:
lord [1]4 years ago
3 0

Answer:

-1/4

Step-by-step explanation:

Use the formula: a2 divided by a1. (a2/a1)

Plugging it in would look like this:

-6/24

-6/24 is equal to -1/4.

Hope this helps!

jek_recluse [69]4 years ago
3 0

Answer:

-\frac{1}{4}  is the common ratio.

Step-by-step explanation:

A sequence is a set of things (usually numbers) that are in order.

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

For a geometric sequence, the common ratio is the ratio of a term to the previous term.

Given the geometric sequence 24, -6, \frac{3}{2}, -\frac{3}{8} , ...

To find the common ratio, find the ratio between a term and the term preceding it.

r= -\frac{\frac{3}{2}}{6} =-\frac{3}{12}=-\frac{1}{4}

-\frac{1}{4}  is the common ratio.

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3 years ago
How do i deleted a question on here lol
shtirl [24]
I don’t think you can lol
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An object is traveling at a steady speed of 10 and one tenth km​/h. How long will it take the object to travel 4 and nine tenths
My name is Ann [436]

Answer:

Estimated Answer=\frac{1}{2} hour

Exact Answer= \frac{49}{101} hr

Step-by-step explanation:

Steady speed of the object =10 and one tenth km​/h = 10\frac{1}{10} km/hr

Distance to be Covered=4 and nine tenths km =4\frac{9}{10} km

To the nearest integer,

Steady speed of the object = 10 km/hr

Distance=5km

Time Taken = \frac{Distance}{Average Speed}

==\frac{5}{10} =\frac{1}{2} hr

The estimated answer is 1/2 hr.

Next, we determine the exact answer.

Time Taken = \frac{Distance}{Average Speed}\\  = 4\frac{9}{10} \div 10\frac{1}{10}\\=\frac{49}{10} \div \frac{101}{10}\\=\frac{49}{10} X \frac{10}{101}\\=\frac{49}{101} hr

The exact time taken is \frac{49}{101} hr

3 0
3 years ago
prove that ( sin theta cos theta = cot theta ) is not a trigonometric identity by producing a counterexample
user100 [1]

Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

8 0
3 years ago
What is the explicit formula for the geometric sequence with this recursive formula?
weeeeeb [17]

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

The recursive formula gives a term in the sequence by multiplying the previous term by r

Given the recursive formula

a₁ = - 6

a_{n} = a_{n-1} (\frac{1}{4} )

with r = \frac{1}{4}

Then explicit formula is

a_{n} = - 6(\frac{1}{4}) ^{n-1} → A

6 0
4 years ago
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