Question

If 5,x,125 are in G.P., then value of x is:​

Answer 1

Given :- 5,x,125 are in G.P .

To Find :- x = ?

Solution :-

we know that,

• when a, b and c are in GP, b = √(ac)

given that,

• a = 5
• b = x
• c = 125

so,

→ b = √(ac)

→ x = √(5 * 125)

→ x = √(625)

→ x = ±25 (Ans.)

Hence, x is equal to 25 or (-25) .

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Answer 2

Given  : 5,x,125 are in G.P

To Find : Value of x

Solution:

G.P  - Geometric progression

a , ar , ar² ______

ratio between consecutive terms is constant

5 , x , 125 are in GP

if

x/5  = 125/x

=> x² = 5 * 125

=> x² = 625

=> x = ± 25

value of x can be +25 or - 25

5 , 25 , 125 ____ here common ratio is 5

5 , -25 , 125 ____ here common ratio is -5

value of x can be +25 or - 25

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