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The recursive formula should depend on a(n-1) and be valid for n>1. a(n)=8(-2)⁽ⁿ⁻¹⁾

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Final answer:

The recursive formula for the given sequence is an = 8(-2)(n-1). This formula represents a geometric sequence where each term is obtained by multiplying the previous term by a common ratio of -2.

Step-by-step explanation:

The recursive formula for the given sequence is an = 8(-2)(n-1). This formula represents a geometric sequence where each term is obtained by multiplying the previous term by a common ratio of -2. To find a specific term, you can substitute the value of n into the formula and simplify. For example, to find a3, substitute n=3 and evaluate 8(-2)(3-1) = 8(-2)2 = 8(4) = 32.

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