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Dennis_Churaev [7]
3 years ago
5

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15.

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0
It's a geometric sequence.

4,-12,36,... \\ \\
a_1=4 \\
r=\frac{a_2}{a_1}=\frac{-12}{4}=-3 \\ \\
a_n=a_1 \times r^{n-1} \\
a_n=4 \times (-3)^{n-1} \\
a_n=4 \times (-3)^{-1} \times (-3)^n \\
a_n=4 \times (-\frac{1}{3}) \times (-3)^n \\
a_n=-\frac{4}{3}(-3)^n

It's the sum for term 4 through term 15.

 \boxed{ \sum\limits_{n=4}^{15} (\frac{4}{3}(-3)^n)}
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Step-by-step explanation:

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3 years ago
Consider the equation
Ira Lisetskai [31]

The solution to the original equation is 1, 1/6

<h3>Solving equation</h3>

Equations are expressions separated by mathematical operations.

Given the equation below

x/x − 1 = 6x + 1/x − 1

From the given expression, the least common denominator is x -1

Multiply both sides by x-1 to have;

x = 6x(x-1) +1

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5 0
1 year ago
A and B are independent events. P(A) = 0.50 P(B) = 0.30 What is P(A/B)? a. not enough information. b. 0.30 c. 0.50 d. 0.15
Gala2k [10]

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0.50

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P(A|B)=P(A) since A and B are independent

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3 years ago
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