Question

The Sum and the Product
of the three Conseclive number
in a geometric Profession
are 28 and
512 respectivele
find the three number of
the ar​

Answer 1

Answer:

let the three numbers be a,ar, ar

2

,

where r is the common ratio.

⇒a+ar+ar

2

=28 and a

3

r

3

=512

⇒ar=8⇒a+ar

2

=20

⇒8r

2

−20r+8=0

⇒r=2,r=

2

1

if r=2,a=4

therefore, the three numbers are 4,8,16

Answer 2

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Let the three numbers be a,ar, ar²

where r is the common ratio

⇒a+ar+ar²=28

a³r³=512

⇒ar=8

⇒a+ar²=20

⇒8r²−20r+8=0

r = 2, r = 1/2

If r=2,a=4

Therefore, the three numbers are 4,8,16.