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statuscvo [17]
3 years ago
14

Write an equation to describe the sequence below. Use n to represent the position of a term in the sequence,where n = 1 for the

first term.
5, -3 , 9/5 , ...

Write your answer using proper fractions, improper fractions, and integers.

an = ( )^{n-1}n - 1
Mathematics
1 answer:
VMariaS [17]3 years ago
6 0

ANSWER

The required equation is:

a_n=5(  - \frac{3}{5} )^{n-1}

EXPLANATION

The given sequence is

5, -3 ,  \frac{9}{5}

The first term of the sequence is ;

a_1=5

The common ratio is the subsequent term previous term of any two consecutive terms. This implies that;

r =  \frac{ - 3}{5}

The nth term of the sequence is

a_n=a_1(r)^{n-1}

We substitute the terms to obtain;

a_n=5(  - \frac{3}{5} )^{n-1}

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Which value for the number makes the statement true?
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A product is the result of multiplication.
A quotient is the result of division.
So you're trying to find the quotient of a number (x) and 5 that equals 8.

Try plugging in the answers. 
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A. x=4
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B. x=8
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C. x=40
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D. x=80
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So your answer is C. 40
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3 0
3 years ago
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<h2>Key Ideas</h2>
  • Systems of equations

<h2>Solving the Question</h2>

When both sides of the equal sign are equal, there are infinite solutions.

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<h2>Answer</h2>

There is no solution

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2 years ago
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