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Three numbers 5, p and 10 are in Harmonic progression if p = ?

Answer (Detailed Solution Below)

Option 2 :
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CONCEPT : 

Three numbers x, y, and z are in H.P if and only if y = 

So,  are in A.P. if and only if: 

CALCULATION:

Given: Three numbers 5, p and 10 are in Harmonic progression

⇒  are in A.P

Now, According to the concept used

⇒ 2 ⋅ = 

⇒ 2 ⋅ = 

⇒ 

⇒ p = 

∴ The value of p is 20/3.

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