Question

iii) Write middle term of 4 & 25​

Answer 1

Answer:

15 is the middle term between 4 & 25

Answer 2

SOLUTION

TO DETERMINE

The middle term of 4 & 25

EVALUATION

Let x be the middle term of 4 & 25

So by the given condition

4 : x = x : 25

$\displaystyle \sf{ \implies \frac{4}{x} = \frac{x}{25} }$

$\displaystyle \sf{ \implies {x}^{2} = 4 \times 25 }$

$\displaystyle \sf{ \implies {x}^{2} = 100}$

$\displaystyle \sf{ \implies x = 10}$

Hence the required middle term = 10

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