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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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Math question picture attached
babunello [35]

To find the slope, you use the slope formula (m):

m=\frac{y_2-y_1}{x_2-x_1}    and plug in the two points

(-3, 4) = (x₁, y₁)

(2, -1) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-1-4}{2-(-3)}       [two negatives cancel each other out and become positive]

m=\frac{-1-4}{2+3}

m=\frac{-5}{5}

m = -1        The slope is -1

4 0
4 years ago
Read 2 more answers
3e≤6 <br><br> a e=1<br><br> b e=2<br><br> c e=3
lesya [120]
A and b are both accurate

For a:
3(1) \leqslant 6 = 3 \leqslant 6
which is true

For b:
3(2) \leqslant 6 = 6 \leqslant 6
which is also true
7 0
4 years ago
Please look at the image
Alina [70]

Answer:

F=2E

ANGLE F+ANGLE E=120

2E. + E. =120

3E=120

E=40

4 0
3 years ago
M AEB = 37°, what is m CED?
Oksana_A [137]
Answer: 53 degree

Explanation:

AEB + BEC + CED = 180 degree
37 + 90 + CED = 180
CED = 180 - 127
CED = 53 degree
6 0
3 years ago
The amount of water dispensed by a water dispenser is normally distributed,
Contact [7]

Answer:

The correct answer is - C.  11.45 ounces to 11.75 ounces.

Step-by-step explanation:

According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.

That is:

μ±δ

From the given information, the mean is

μ = 11.60

and the standard deviation is

δ = 0.15

We substitute the given parameters to obtain;

11.60±0.15

11.75 and 11.45

This means the lower limit is

11.45

and the upper limit is

11.75

3 0
3 years ago
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