If x - 4 , x + 2 and 3x + 6 form a geometric sequence, find x.
1 answer:
Answer:
x =7
Step-by-step explanation:
Remark
A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 .... Each term is multiplied by a common number and the term before it. In this case the common term is 3. To get the next term after 9, you multiply 9 by 3. To get the common ratio divide the second term by the first and then the third term by the second Equation
(x + 2)/(x - 4) = (3x + 6)/ (x + 2)
Solution
I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.
(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.
(x + 2)/(x - 4) = 3/1 Cross multiply (x + 2)*1 = 3*(x - 4) Remove the brackets on the right. x + 2 = 3x - 12 Add 12 on both sides. x + 2 + 12 = 3x - 12 + 12 Simplify x + 14 = 3x Subtract x from both sides 14 = 3x - x 2x = 14 Divide by 2 x = 14/2 x = 7
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Step-by-step explanation:
The answer would be twenty five percent because four and one half is equal to seventy-five percent and one hundred minus seventy-five would be twenty-five.
