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skad [1K]
2 years ago
11

Find the sum of the first 12 terms of geometric sequence 3,-9,27-81,243

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

3, -9, 27,-81,243,-729,2187,-6561,19683,-59049,177147,-531441

the sum is −398,580

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HELP ME QUICK PLEASEEEE solve for x: 2/x-2+7/x^2-4=5/x
Anna35 [415]

 

\displaystyle\\\\\frac{2}{x-2}+\frac{7}{x^2-4}=\frac{5}{x}\\\\\frac{^{x+2)}2~~~~~}{x-2}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2(x+2)}{(x-2)(x+2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2x+4+7}{x^2-4}=\frac{5}{x}\\\\\frac{2x+11}{x^2-4}=\frac{5}{x}\\\\5(x^2-4)=x(2x+11)\\\\5x^2-20=2x^2+11x\\\\5x^2-2x^2 -11x-20=0


\displaystyle\\3x^2-11x-20=0\\\\x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{11\pm\sqrt{121+4\cdot3\cdot20}}{2\cdot3}=\\\\=\frac{11\pm\sqrt{121+240}}{6}=\frac{11\pm\sqrt{361 }}{6}=\frac{11\pm19}{6}\\\\x_1=\frac{11-19}{6}=\frac{-8}{6}\\\\\boxed{\bf x_1=-\frac{4}{3}}\\\\x_2=\frac{11+19}{6}=\frac{30}{6}\\\\\boxed{\bf x_2=5}




3 0
3 years ago
-h (6h-1)<br> please hurry I really need help!
Sholpan [36]

-6h²+h is the answer

8 0
3 years ago
christina and her 2 friends spent $25.02 at there favorite restaraunt . if they split the cost equally how much will they each p
ad-work [718]

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$8.34

Step-by-step explanation:

Simply divide $25.02 by three, since three people are splitting the cost.

8 0
2 years ago
A swim coach has at most $800 to buy equipment for the swim team. Each pull buoy costs $5.50 and each kickboard costs $10. Let x
MissTica

Answer:

5.50x+10y≤800

Step-by-step explanation:

The pull bouys are $5.50 each (5.50x)

The kickboards are $10 each (10y)

And the words "at most" mean less than or equal to

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3 0
3 years ago
Suppose you deal three cards from a regular deck of 52 cards. What is the probability that they will all be jacks?
andrew-mc [135]

<u>Answer:</u>

Probability of getting three jacks = \frac { 3 } { 5 2 }

<u>Step-by-step explanation:</u>

It is given that you deal three cards from a regular deck which contains 52 cards.

We are to find the probability of getting all three Jack cards.

We know that there are a total of 4 jacks in a regular deck of 52 cards.

Therefore, the probability of getting three jacks = \frac { 3 } { 5 2 }

4 0
3 years ago
Read 2 more answers
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