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MAVERICK [17]
3 years ago
8

a geometric series where the first term is -12, the last term is -972, and each term after the first is triple the previous term

​
Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

the geometric series is a(n) = -12(3)^(n-1)

Step-by-step explanation:

"Triple" denotes multiplication by 3.  Thus, the common factor here is 3.

The general formula for a geometric series is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common ratio.

Here, we have a(n)= (-12)(3)^(n-1) = -972.

We need to solve this for n, which represents the last term.

The first step towards solving for n is to divide both sides by -12:

3^(n-1) = 81

To solve for n-1, rewrite 81 as 3^4.  Then we have:

3^(n-1) = 3^4, implying that (n-1) = 4 and that n = 5.

Then we know that it is the 5th term that equals -972.

In summary, the geometric series is a(n) = -12(3)^(n-1).

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emmasim [6.3K]

Answer:

x=1 and x=4

Step-by-step explanation:

We have the following system of equations:

y=\sqrt{x} and y=x-2

To solve the problem, we need to equal the two equations:

x-2=\sqrt{x} ⇒ (x-2)^{2} =x ⇒ x^{2} -4x + 4 = x  

⇒ x^{2} -5x + 4 = 0  

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are x=-1 and x=-4.

Then, the factorized form of the polynomial is: (x-1)(x-4).

The, the solution to the system of equations is: x=1 and x=4.

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3 years ago
Is 4/5 greater or less than 7/12
Paha777 [63]
I would belive its great because if you have 4/5 of a pie compared to 7/12 of a pie having 4/5 would be more of the pie , I hope that helped that's how I have to think about fractions
5 0
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A Kite of Area 255 m2 has one diagonal of length 9m . find the length of the other diagonal
Bas_tet [7]

\\ \rm\longmapsto Area=255m^2

\\ \rm\longmapsto LB=255

\\ \rm\longmapsto 9L=255

\\ \rm\longmapsto L=\dfrac{255}{9}

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11. Give two examples of each type of number: real, natural, integers, rational and irrational.
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Answer:

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natural: 1,2,3,4,5,6.....(0 is not included)

integers:. .............-4,-3,-2,-1,0,1,2,3,4........ etc

rational: nos. which are in p/q form

:1/2,3/4,4/9 etc

irrational: nos. which cannot be written in p/q form

: √2,√3... etc

irrational: √2, √3, √5, √11, √21, π(Pi)

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Answer:

Hi! The answer to your question is x > 2

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

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4 0
3 years ago
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