des11124 des11124
  • 13-05-2024
  • Mathematics
Answered

In a geometric sequence, the first term, a1, is equal to 1, and the fourth term, a4, is equal to 125. Which number represents the common ratio of the geometric sequence?



Answer :

mathstudent55
mathstudent55 mathstudent55
  • 13-05-2024

Answer:

5

Step-by-step explanation:

Let r = common ratio.

a1 = 1

a2 = 1 × r = r

a3 = r × r = r²

a4 = r² × r = r³

a4 = 125

r³ = 125

Take the cubic root of both sides.

r = 5

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