SOLUTION: Can you explain the solution to this problem please?
In a G.P. the sum of the 2nd and 3rd terms is 6, the sum of the 3rd and 4th terms is -12. Find the 1st term and the common r
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Question 648175: Can you explain the solution to this problem please?
In a G.P. the sum of the 2nd and 3rd terms is 6, the sum of the 3rd and 4th terms is -12. Find the 1st term and the common ratio.
Thanks very much
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Can you explain the solution to this problem please?
In a G.P. the sum of the 2nd and 3rd terms is 6, the sum of the 3rd and 4th terms is -12. Find the 1st term and the common ratio.
Thanks very much
GP formula:
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-----
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Since terms 2 and 3 sum to 6, then:
---- ---- ----- eq (i)
Since , since , and since , then: ------ eq (ii)
------ eq (ii)
------ Substituting for in eq (ii)
------ Multiplying by LCD, r + 1
(r + 2)(r + 1) = 0
r = - 2 or – 1
======
Check
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r = - 2
; First term, or =
r = - 1
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