What are the first four terms of a geometric sequence if its common ratio is 5 and its first term is 2.5? 2.5, 7.5, 12.5, 17.5
2.5, 0.5, 0.1, 0.02
2.5, 12.5, 62.5, 312.5
2.5, -2.5, -7.5, -12.5

 C:  2.5, 12.5, 62.5, 312.5

Step-by-step explanation:

Let us remember that in a geometric sequence:

    ratio =

We know that (first term) is 2.5.  So plug in the numbers into the above formula:

    5 =

Multiply both sides by 2.5 to solve for (second term):

    5 × 2.5 = 12.5

By process of elimination, it is obvious the correct answer is C.

We can double check your answer by checking the rate is 5 by dividing:

   For example, 62.5 () divided by 12.5 () is appropriately 5.  

   Similarly, 312.5 () divided by 32.5 () is again 5, confirming our answer to be correct.

the first dot plot best represents the data

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d

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~coco