Theory of Intelligence
11TH•Mathematics•Sequences And Series•Question 4

Overview

If 5 is the harmonic mean between 2 and $b$, find $b$.

H.M. of 2 and (b) is 5: [ \dfrac{2\cdot 2\cdot b}{2+b}=5\implies\dfrac{4b}{2+b}=5\implies 4b=10+5b\implies -b=10\implies b=-10 ]

Answer: (b=-10)

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