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What is the common ratio of this sequence?​

What is the common ratio of this sequence?​-example-1

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Answer:

D. 5

Explanation:

a geometric sequence is defined that any item of the sequence is created by multiplying the previous item of the sequence with a constant factor (it is the same factor for every item in the sequence).

so, we have the starting value

a1 = 3

then

a2 = 15

what is a multiplication factor to go from 3 to 15 ?

well, 5. I need to multiply a1 by 5 to get a2.

and this continues.

a3 = a2×5 = 15×5 = 75

a4 = a3×5 = 75×5 = 375

and so on.

the ratio of the sequence is simply the relation of one sequence item to the previous one :

an/an-1

and that is here for the described reasons 5.

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