if X,X+2, and X+6 are in G.P,then X is
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x = 2 it is final answer
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Given:
Three terms X, X+2, and X+6 are in G.P
To Find:
The value of X if the three terms are in G.P is?
Solution:
The given problem can be solved using the concepts of Geometric progression.
1. A sequence in which every element except the first element is obtained by multiplying the preceding number with a constant ratio is defined as Geometric Progression.
2. Let a, b, and c be three consecutive terms of a geometric progression then,
=> The relation between a, b, and c is b² = a*c.
3. Using the above relation the value of X can be found,
=> (X+2)² = (X+6)*X,
=> X² + 4 + 4X = X² + 6X, ( Simplify for value of X )
=> X² - X² + 6X - 4X = 4,
=> 2X = 4,
=> X = 2.
Therefore, the value of X is 2. The three terms are 2, 4, and 8.
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