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krok68 [10]
3 years ago
9

Use the formula an = aj(r)a- to write a formula for the geometric sequence below.

Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

a_{n} = 3(2)^{n-1}

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

6 ÷ 3 = 12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 2

This indicates the sequence is geometric with n th term

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = 2 , thus

a_{n} = 3(2)^{n-1}

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What are the next three terms of the geometric sequence 32, -16, 8, …?
Vitek1552 [10]

Answer:

<h2>d. -4, 2, -1</h2>

Step-by-step explanation:

32, -16, 8, ...

The common ratio:

-16 : 32 = -0.5

8 : (-16) = -0.5

CORRECT :)

It's a geometric sequence.

8 · (-0.5) = -4

-4 · (-0.5) = 2

2 · (-0.5) = -1

6 0
3 years ago
A box has dimensions of 14 inches long, 1.5 feet wide, and 7 inches high. What is the volume of the box?
elena55 [62]
We have to make ALL the units equal.
So, we could calculate 14" by 18" by 7" = 1,764 cubic inches 
ORwe could calculate <span> <span> <span> 1.1666666666 by 1.5 by </span></span></span> <span> <span> <span> 0.5833333333 = </span></span></span> <span> <span> <span> 1.0208333333</span></span></span>cubic feetthere are 1,728 cubic inches i a cubic foot so this equals<span> <span> <span> 1.0208333333 * 1,728 = 1,764 cubic inches
</span></span></span>
So, both answers are correct.
<span><span><span /></span></span>
5 0
4 years ago
The price of milk has been increasing over the last month. Audrey believes there is a positive correlation between the number of
prisoha [69]

Answer:

0.33

Step-by-step explanation:

To solve this example we use this rule :

Δx/Δy

x is amount that changed. so Δx=0,99.

How we get 0.99.

Our storm is to 3 to 6 so we find difference for x : for 3rd and 6th member of table... 3.88-2.89=0.99

Now we have :

0.99/Δy

Because we need to find from 3 to 6 , Δy=3 ,

When we find both, we can find rate of change with :

0.99/3=0.33

8 0
3 years ago
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All real numbers greater than or equal to -3
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3 years ago
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6th grade math please help
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