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Pepsi [2]
3 years ago
12

What is the explicit formula for this geometric sequence?

Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

<h2>(-6)×3ⁿ⁻¹</h2>

Step-by-step explanation:

We notice that in this sequence (an) we multiply by 3 each time to get the next term

e.g :  (-6)×3 = -18

then

the commonn ratio q = 3

the first term a1 = -6

the explicit formula :

an = a1×qⁿ⁻¹ = (-6)×3ⁿ⁻¹

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The triangles are congruent by SSS or HL. Triangle A B C is reflected across B C to form triangle A prime B C. Triangle A prime
Finger [1]

Answer:

  reflection, then rotation, then translation

Step-by-step explanation:

Read the problem statement. It tells you the sequence:

Triangle A B C is <em>reflected</em> across B C to form triangle A prime B C. Triangle A prime B C is <em>then rotated</em> about point A to form A prime B prime C prime. Triangle A prime B prime C prime is <em>then shifted to the right</em> to form A double-prime B double-prime C double-prime.

The transformations are ...

  reflection, then rotation, then translation

8 0
3 years ago
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Solve for x. Please show work.
abruzzese [7]

Answer:

x= to 5

Step-by-step explanation:


5 0
2 years ago
A sculpture of a clothespin is 20 feet high. A normal clothespin of this shape is five inches high. Using this scale, how many f
kodGreya [7K]
This is the concept of scale factor. The linear scale factor is given by:
(height of sculpture)/(height of clothespin)
=20/(5/12)
=48
Given that a woman is 5ft 7 in, the sculpture of this woman would be:
height of sculpture=(scale factor)*(height of the woman)
height of the woman=5 ft 7 inches=5 7/12 ft=67/12 ft
hence the height of the sculpture will be:
67/12×48
=268 ft

Answer: 268 ft

7 0
3 years ago
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A frog is climbing out of a well that is 11 feet deep. The frog can climb 3 feet per hour but then it rests for an hour, during
Dimas [21]

Answer:

It takes the frog 7 hours to get out of the well.

Step-by-step explanation:

We know that the well is 11 feet deep and the frog can climb 3 feet per hour.

Each time it climbs, it rests for an hour, and decreases its height by 1 foot.

So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.

Lets calculate with the same pattern:

1st hour: 3 feet

2nd hour: 3-1=2 feet

3rd hour: 2+3=5 feet

4th hour: 5-1=4 feet

5th hour: 4 +3= 7 feet

6th hour: 7-1=6 feet

5th hour: 6+3=9 feet

6th hour: 9-1=8 feet

7th hour:  8+3= 11 feet

Therefore, it takes the frog 7 hours to get out of the well.

4 0
2 years ago
How many more pounds do u need to make 5 pounds if u already have 3.85 pounds​
RUDIKE [14]

Answer:

1.15 pounds

Step-by-step explanation:

5 - 3.85 = 1.15

6 0
3 years ago
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