Find a number which, when added to each of 2,6,13, gives three numbers in geometric sequence.
To start, let's assign a variable to the number. Let it be x.
And if adding x to 2, 6 and 13 results to a geometric series, we would have:
`2+x` , `6+x` , and `13+x`
Note that in geometric series, the ratio between two consecutive terms are the same and it is called as a common ratio (r)....
(The entire section contains 150 words.)
check Approved by eNotes Editorial