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Select the Formula for the N^th Term of the Sequence. 8,-16,32,ldots 8(-2)^n 8(-2)^n-1 8-2(n) 8-2(n-1) None of the Above

Problemas

Select the formula for the n^th term of the sequence. 8,-16,32,ldots 8(-2)^n 8(-2)^n-1 8-2(n) 8-2(n-1) None of the above

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Respuesta

To find the formula for the term of the sequence , we need to identify the pattern in the sequence.Let's analyze the given terms:- The first term is .- The second term is .- The third term is .We can observe that each term is obtained by multiplying the previous term by . This indicates that the sequence is a geometric sequence with a common ratio of .The general formula for the term of a geometric sequence is given by: Where:- is the term- is the first term- is the common ratio- is the term numberIn this case, the first term is and the common ratio is . Substituting these values into the formula, we get: Therefore, the correct formula for the term of the sequence is .So, the correct answer is: .