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What is the next term of the geometric sequence? 128, 32, 8, ...

A) 2
B) 4
C) 1
D) 16

1 Answer

1 vote

Final answer:

The next term of the geometric sequence is 2.

Step-by-step explanation:

In a geometric sequence, each term is obtained by multiplying the previous term by a constant value called the common ratio. In this sequence, the common ratio is 1/4 because 32/128 = 8/32 = 1/4. To find the next term, we multiply the last term (8) by the common ratio (1/4). Therefore, the next term of the sequence is 8 * (1/4) = 2.

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