Question

For the missing term in the geometric sequence, Find the possiblefor the missing term in the geometric sequence, Find the possible values.
4, ?, 1/36 

Answer 1

Use property of geometric sequence:

$4,x,\frac{1}{36}\\ \\ \frac{x}{4}=\frac{\frac{1}{36}}{x}\\ \\ x^2=4.\frac{1}{36}\\ \\ x^2=\frac{1}{9}\\ \\ x=\pm \frac{1}{9}\\ \\ \boxed{x=\pm \frac{1}{3}}$