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MAVERICK [17]
3 years ago
14

Find the 12th term of the sequence which has a first term of 14 and has a common ratio of 1.03

Mathematics
2 answers:
nirvana33 [79]3 years ago
4 0
A(n)=a × r^n-1
A(12)= 14 x 1.03^11
A(12)=19.379
gavmur [86]3 years ago
4 0

Answer:

S_{12} = 19.376.

Step-by-step explanation:

Given  : sequence which has a first term of 14 and has a common ratio of 1.03.

To find :Find the 12th term of the sequence .

Solution : We have given first term of 14 and has a common ratio of 1.03.

Sum of n terms ( S_{n} = a r^{n-1}.

Where, a = first term , r = common ratio and n = number of terms .

Then, Plug the values a = 14 , r = 1.03 , n = 12.

S_{12} = 14 (1.03)^{12-1}.

S_{12} = 14 (1.03)^{11}.

S_{12} = 14 ( 1.384).

S_{12} =19.376.

Therefore, S_{12} = 19.376.

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3 years ago
James and Michael are the partners in a local business. They needed $480,000 to start the
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Answer the following questions. Make sure to show all your work.
KengaRu [80]

a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

b) since  the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equation

In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value

For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:

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Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of  equations

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Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of  equations

Learn more on systems of equation here: brainly.com/question/847634

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