Answers

2015-07-21T19:36:39+08:00
10 is the value of x
2 4 2
wrong your answer hula kalang
edi mali
eh ano pala ang answer?
tel me
ahm x=2 x=o.98
2015-07-21T19:59:44+08:00
Since the geometric mean is 7x-2 then we can say that the sequence with 3 terms would be:
2x, 7x-2, 19x-2
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for it to be considered as a geometric sequence, it should have a common ratio. In which case we define the equation to find x as
(19x-2)/(7x-2) = (7x-2)/2x
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cross multiply
(19x-2)(2x) = (7x-2)(7x-2)
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distribute
38x^2-4x = 49x^2-14x-14x+4
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simplify
38x^2-4x = 49x^2-14x-14x+4
49x^2-14x-14x+4-38x^2+4x=0
11x^2-24x+4 = 0
factor
(11x-2)(x-2)=0
11x-2=0
11x=2
x=2/11
and
x-2=0
x=2
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therefore the values of 'x' would be 2/11 and 2
2 3 2