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SSSSS [86.1K]
3 years ago
13

Given a geometric sequence with a1 = 3 and a4 = 24, find a2.

Mathematics
1 answer:
Phantasy [73]3 years ago
4 0

Answer: 6

Step-by-step explanation:

ax/ay=r^(x-y)

in this case it will be

a4/a1=r^(4-1)

24/3=r^3

8=r^3

r=2

----------------------------------

an=a1×r^(n-1) ⇔ geometric sequence formula

a2=3×2^(2-1)

a2=3×2^1

a2=3×2

a2=6

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Step-by-step explanation:

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Solve the system of equations by graphing. x+y=-9 4x+y=-19
shutvik [7]

For this case we have the following system of equations:

x + y = -9\\4x + y = -19

We multiply the first equation by -4:

-4x-4y = 36

We have the following equivalent system of equations:

-4x-4y = 36\\4x + y = -19

We add the equations:

-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}

We find the value of the variable "x":

x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}

Thus, the solution of the system is:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

ANswer:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

4 0
4 years ago
there is a group of 4 people ordering pizza. each person gets 6 slices and there are 8 slices in each. how many pizzas should th
labwork [276]
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4 0
4 years ago
Find the square rootV 196​
Taya2010 [7]

Answer:

The answer is 14

Step-by-step explanation:

The square root 196

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Thus, The answer is 14

<u>-TheUnknownScientist</u>

5 0
4 years ago
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