the product of three consecutive terms of a geometric progression is 343 and their sum is 9/3 . find the three terms
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Answer:
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Step-by-step explanation:
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Answered by
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Step-by-step explanation:
Let the three consecutive terms of gp be a/r,a,ar
Given that :
a/r.a.ar =343
a^3 = 343
a.a.a=7.7.7
a=7
a/r +a + ar =9/3
a + ar +ar^2 / r = 9/3
a(r^2 + r + 1)/r = 3
7(r^2 + r + 1)/r = 3
(r^2 + r + 1)/r = 3/7
(r^2 + r + 1) = 3r/7
7r^2 +7r + 7= 3r
7r^2 + 4r + 7= 0
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