# SOLUTION: a G.P has a first term of a, a common ratio of r and its 6th term is 768. another G.P has a first term of a, a common ratio of 6r and its 3rd term is 3456. evaluate a and r.

Algebra ->  -> SOLUTION: a G.P has a first term of a, a common ratio of r and its 6th term is 768. another G.P has a first term of a, a common ratio of 6r and its 3rd term is 3456. evaluate a and r.      Log On

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 Click here to see ALL problems on Sequences-and-series Question 336304: a G.P has a first term of a, a common ratio of r and its 6th term is 768. another G.P has a first term of a, a common ratio of 6r and its 3rd term is 3456. evaluate a and r.Answer by galactus(183)   (Show Source): You can put this solution on YOUR website!The nth term of a geometric sequence is given by For the first condition, the 6th term is 768: For the second condition, the third term is 3456: So, we have two equations with two unknowns to solve, a and r: Solve the first one for and sub into the second one: Therefore,