Question

The product of 3 geometric means between 5 and 125 will be

(a) :- 3125
(b) :- 15625
(C) :- 125
(d) :- 625​

Answer 1

Answer:

(b) :- 15625

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Answer 2

Given : 3 geometric means between 5 and 125

To Find :  their products

(a) :- 3125

(b) :- 15625

(C) :- 125

(d) :- 625​

Solution:

3 geometric means between 5 and 125

x  , y  & z

5  , x ,  y  ,  z  ,  125

r is the common ration

x/5 = 125/z

=> xz = 625

y/x  = z/y

=> y² =  xz

=> y² = 625

=> y = 25

xyz = y. xz  = y.y²

= 25 × 625

= 15625

The product of 3 geometric means between 5 and 125 will be 15625

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