Question

For the following exercises, find the common ratio for the geometric sequence.

Answer 1

Consider the following geometric sequence,

{-2, -1/2, -1/8, -1/32, -1/128, … } ...... (1)

 

The first term of above sequence is a1 = -2and second term is a2 = -1/2.

 

Common ratio of the above sequence will be obtained by dividing its second term by the first term,

r = a2 ÷ a1

   = -1/2 ÷ (-2)

   = (-1/2)/(-2)

   = 1/4

 

Therefore, the common ratio for the above geometric sequence is r = 1/4.