Problem

Select the correct choice that completes the sentence below.
If 5,25 are two adjacent terms in a geometric sequence (in that order), then the next term is

Answer

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Answer

The next term in the geometric sequence is \(\boxed{125}\)

Steps

Step 1 :Find the common ratio by dividing the second term by the first term: \(\frac{25}{5} = 5\)

Step 2 :Multiply the second term (25) by the common ratio (5) to find the next term: \(25 \times 5 = 125\)

Step 3 :The next term in the geometric sequence is \(\boxed{125}\)

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