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Umnica [9.8K]
3 years ago
14

What is the sum of a geometric sequence 1, 3, 9, ... if there are 12 terms?

Mathematics
1 answer:
attashe74 [19]3 years ago
4 0
We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n  is 12

The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720

the answer is
265720



</span>
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Hannah buys 2 and one half pounds of dried fruit for $1.50. how much is she paying for one pound of dried fruit?
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She is paying $0.6 for one pound of dried food. Hope it help!
7 0
2 years ago
The rectangle below has an area of zº +82 + 15 square meters and a width of 2 + 3 meters.
Lelu [443]

Answer:

(x + 5) m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = (x² + 8x + 15) m²

Width (W) = (x + 3) m

Length (L) =?

The lenght of the rectangle can be obtained as follow:

A = L × W

x² + 8x + 15 = L (x + 3)

Divide both side by x + 3

L = x² + 8x + 15 / x + 3

L = (x + 5) m

Please attached photo for explanation.

Therefore, the length of the rectangle is: (x + 5) m

8 0
3 years ago
92.4 is 150% of what number?
Ad libitum [116K]
1. We assume, that the number 92.4 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 92.4 is 100%, so we can write it down as 92.4=100%. </span>
<span>4. We know, that x is 150% of the output value, so we can write it down as x=150%. </span>
5. Now we have two simple equations:
1) 92.4=100%
2) x=150%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
92.4/x=100%/150%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 150% of 92.4

92.4/x=100/150
<span>(92.4/x)*x=(100/150)*x       - </span>we multiply both sides of the equation by x
<span>92.4=0.666666666667*x       - </span>we divide both sides of the equation by (0.666666666667) to get x
<span>92.4/0.666666666667=x </span>
<span>138.6=x </span>
x=138.6

<span>now we have: </span>
<span>150% of 92.4=138.6</span>
3 0
3 years ago
Read 2 more answers
How to divide 6,558 by 4 in long division
Inessa05 [86]

This is the solution to your question.

3 0
3 years ago
The quotient of 49 and d increased by the product of k and f?
stich3 [128]
"d increased by the product of k and f" is d+kf

49/(d+kf)

The final answer is 49/(d+kf)~
6 0
3 years ago
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