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Activities - progressions problems (view source)
Revision as of 10:12, 13 August 2014
, 10:12, 13 August 2014→Algorithm
Also 'b' is the geometric mean between 'a' and 'c'<br>
Also 'b' is the geometric mean between 'a' and 'c'<br>
That is b = <math>\sqrt{ac}</math><br>
That is b = <math>\sqrt{ac}</math><br>
We also write this as <math>b^{2}</math> = ac.<br>
We also write this as <math>b^{2}</math> = ac.-------->2<br>
Now substitute
Now substitute thia value In equation 1,<br>
2ab = ac + bc<br>
Take common in right hand side ( c is common )<br>
2ab = c(a + b)<br>
Divide both side by (a + b),<br>
<math>\frac{2ab} {a + b}</math><br>
Hence 'c' is the harmonic between 'a' and 'b'.