Question

If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence is ______.

Answer 1

The common ratio of this sequence is 120/150 = 4/5, so we have:

`(150)/(1 - (4)/(5) ) = (150)/( (1)/(5) ) = 150 * 5 = 750`

So the sum of all the terms in this sequence is 750.