Question

What is the possible value for the missing term of the geometric sequence?
1250, ... , 50, ...
a.250
b.1200
c.125
d.650

Answer 1

Let x be the missing number
Then
1250/ x = x /50
x^2 = 1250 x 50
= 62500
x =250

Answer 2

a geometric sequence can be written as

a , ar , ar^2

here a = 1250
and ar^2 = 50

so can we can find r from this info

Answer 3

How did you get x=250?

Answer 4

x = square root of 62500
= 250

Answer 5

ar^/a = r^2 = 50/1250 = 0.04
r^2 = 0.04
r = 0.2
so second term = ar = 1250 * 0.2 = 250

Answer 6

Ohh so you take the square root?

Answer 7

yes