SOLUTION: the first numbers p-1,2p-2 and 3p-1 are the first three terms of a Go where p>0 find (i) the value of p (ii)the first term (iii) the sum to infinity

Algebra ->  Sequences-and-series -> SOLUTION: the first numbers p-1,2p-2 and 3p-1 are the first three terms of a Go where p>0 find (i) the value of p (ii)the first term (iii) the sum to infinity      Log On


   



Question 1085356: the first numbers p-1,2p-2 and 3p-1 are the first three terms of a Go where p>0 find
(i) the value of p
(ii)the first term
(iii) the sum to infinity

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
First find the common ratio, r:
r = (2p-2)/(p-1) = 2(p-1)/(p-1) = 2
Thus r = 2 = (3p-1)/(2p-2) -> 3p - 1 = 4p - 4 -> p = 3
So the 1st 3 terms are 2, 4, 8
Since r > 1, the series does not converge and the sum is infinite.