Question

the second term in a geometric sequence is 50. The fourth term in the same sequence is 112.5. what is the common ratio in the sequence?

Answer 1

Geometric sequence

$a_n=a1r^{n-1}$
r=common ratio
a1=first term
n=which term

2nd term is 50
4th is 112.5

$a_2=a1r^{2-1}$=50
$a_2=a1r^{4-1}$=112.5

50=$a1r^{1}$
112.5=$a1r^{3}$

therefor
112.5/50=$\frac{a1r^3}{ar^1} =r^2$=2.25
r^2=2.25
sqrt both sides
r=1.5

the common ratio is 1.5

Answer 2

Answer:

1.5 apex answer