SOLUTION: If the difference between the 3rd and the 1st term of a G.P is 42, and the 4th term is greater than the 2nd term by 168, what is the (1) common ratio, (2) 1st term. (3) 4th term of

Question 769801: If the difference between the 3rd and the 1st term of a G.P is 42, and the 4th term is greater than the 2nd term by 168, what is the (1) common ratio, (2) 1st term. (3) 4th term of the progression
Found 2 solutions by reviewermath, oscargut:
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
If the difference between the 3rd and the 1st term of a G.P is 42, and the 4th term is greater than the 2nd term by 168, what is the (1) common ratio, (2) 1st term. (3) 4th term of the progression
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A:
= 42 ----> = 42 -----> =
= 168 ----> = 168 ----> =
=
=
= 0, divide by 42
= 0
(r - 1)(r + 1)(r - 4) = 0
r = 1, -1, or 4
Disregard r = 1 and -1 because it will make undefined.
common ratio, r =
1st term, = =
4th term, = = =

Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!

Answers:
1)4
2) 2.8
3) 179.2
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