3 years ago

Tables of Ratios: Mastery Test

Mathematics

1 answer:

zzz [600]3 years ago

3 0

Answer: Distance(Miles)

140,420,560

Time(Hours)

5,10

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Find xif 4; 4+2×;4+4× are in Geometric sequences

Ray Of Light [21]

Given:

$4,4+2x,4+4x$ are in geometric sequences.

To find:

The value of x.

Solution:

If a, b, c are in geometric sequences, then

$\dfrac{b}{a}=\dfrac{c}{b}$

$b^2=ac$ ...(i)

It is given that $4,4+2x,4+4x$ are in geometric sequences. By using (i), we get

$(4+2x)^2=(4)(4+4x)$

$4^2+2(4)(2x)+(2x)^2=(4)(4)+4(4x)$

$16+16x+4x^2=16+16x$

$4x^2=16+16x-16-16x$

On further simplification, we get

$4x^2=0$

$x^2=0$

$x=0$

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Step-by-step explanation:

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Which of the following is a geometric sequence where a1 = 4 and r = 3?

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Step-by-step explanation:

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