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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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