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What is the 8th term of the geometric sequence –1, 4, –16, …? i-st ferm • common ratio desired term – 1)

1. (-4)68 - 1) = [?]

1 Answer

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Final answer:

The 8th term of the geometric sequence -1, 4, -16, ... is 16384.

Step-by-step explanation:

The 8th term of the geometric sequence -1, 4, -16, ... can be found using the formula a * r^(n-1), where a is the first term and r is the common ratio. In this sequence, the first term is -1 and the common ratio is -4. Substituting these values into the formula, we get:

-1 * (-4)^(8-1) = -1 * (-4)^7 = -1 * (-16384) = 16384

Therefore, the 8th term of the sequence is 16384.

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