Question
6x+12,2x+4 and x-7 are the first three terms of a geometric sequence.
-is this a converging or diverging sequence...justify your answer
-is this a converging or diverging sequence...justify your answer
Answers
Steve
If there is a common ratio, then you need
(2x+4)/(6x+12) = (x-7)/(2x+4)
x = 25
So, the common ratio is 54/162 = 1/3
Since |r| < 1, the sequence converges.
(2x+4)/(6x+12) = (x-7)/(2x+4)
x = 25
So, the common ratio is 54/162 = 1/3
Since |r| < 1, the sequence converges.