Question

If x, x+2 and x+6 are in G. P then x=​

Answer 1

Answer:

The ratio between consecutive terms is constant in geometric progression

⇒

x

x+2

​

=

x+2

x+6

​

⇒(x+2)

2

=x(x+6)

⇒x

2

+4x+4=x

2

+6x

⇒2x=4

⇒x=2

Step-by-step explanation:

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Answer 2

Answer:

$\frac{x + 2}{x} = \frac{x + 6}{x + 2}$

$(x + 2) {}^{2} = {x}^{2} + 6x$

${x}^{2} + 4x + 4 = {x}^{2} + 6x$

$2x = 4 \: \: then \: x = 2 \: \: \: ans.$