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Algebra 1 U.8 Write Variable Expressions for Geometric Sequences XPC 4)) Write an Equation to Describe the Sequence Below. Use N to

Question

Algebra 1 U.8 Write variable expressions for geometric sequences XPC 4)) 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. -9.9,29.7,-89.1,ldots 4) Write your answer using decimals and integers. a_(n)=square (square )^n-1

Solution

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Answer

The given sequence is -9.9, 29.7, -89.1, ...We can find the common ratio by dividing any term by its preceding term.Common ratio (r) = Also, The first term, .The general formula for a geometric sequence is given by , where is the nth term, is the first term, r is the common ratio, and n is the position of the term.In this case, and .So, the equation for the sequence is: Final Answer: The final answer is