The second term in a geometric sequence is 12. the fourth term in the same sequencce is 4/3. what is the common ratio in this sequence?

Question

Mathematics

Conor Mitchell

29 April, 20:49

The second term in a geometric sequence is 12. the fourth term in the same sequencce is 4/3. what is the common ratio in this sequence?

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Answers (1)

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Selina Watkins · Answer 1

Geo is

an=a1r^ (n-1)

2nd term is 12

4th term is 4/3

a2=a1r^ (2-1) = 12

a2=a1r=12

a4=a1r^ (4-1) = 4/3

a4=a1r^3=4/3

we have

a1r=12 and a1r^3=4/3

(a1r^3) / (a1r) = r^2 = (4/3) / 12=1/9

1/9=r^2

sqrt oth sides

1/3=r

the common ratio is 1/3