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gavmur [86]
3 years ago
9

What is the explicit formula for the sequence below? 4, -12, 36, -108 ...

Mathematics
2 answers:
liubo4ka [24]3 years ago
6 0

Answer:x ×-3

Step-by-step 4×-3= -12

-12 × -3= 36

and so on

Degger [83]3 years ago
4 0
Answer:
an = -6*(1/4)^(n-1)
Step-by-step explanation:
We have that the recursive formula for the given geometric sequence is:
a1 = -6
an = (an-1) * (1/4)
With the above we can assume that:
r = 1/4
following the rule of the explicit formula that is given by:
an = a1 * (r) ^ (n-1)
we substitute and we have:
an = -6 * (1/4) ^ (n-1)
Therefore the explicit formula from the given data would be:
an = -6 * (1/4) ^ (n-1)
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Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid
Bezzdna [24]

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

6 0
2 years ago
I run a 10km race in 56 minutes.what is my average speed in kilometres per minute
Luden [163]

Hey there! I'm happy to help!

You ran a 10 kilometer race in 56 minutes (good job!). To find how much you ran in 1 minute, you simply divide by 56.

10/56=0.178571428

Therefore, you ran around 0.18 km/minute.

Have a wonderful day! :D

7 0
3 years ago
What is the conjugate of 1 + √5
RUDIKE [14]

Answer:

Exact Form:

1 + √5

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8 0
2 years ago
Carla is going to arrange her 4 books on a shelf: Algebra, Trigonometry, Geometry and Calculus. How many different possible arra
PilotLPTM [1.2K]

Arranging of books is an illustration of permutation and combination

There are 24 different possible arrangements she can make

<h3>How to calculate the number of arrangement</h3>

The number of books is given as:

n = 4

Take the factorial of both sides

n! = 4!

Evaluate

n! = 4 * 3 * 2 * 1

n! = 24

Hence, there are 24 different possible arrangements she can make

Read more about permutation and combination at:

brainly.com/question/1216161

5 0
1 year ago
Dado el triángulo de vértices en A(-10, -13); B(-2,3) y C(2,1); Hallar la longitud de la perpendicular bajada desde el vértice B
anygoal [31]

Answer:

ghjhjhk

Step-by-step explanation:

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2 years ago
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