brain crusher

Let 10=m and 21=n then for the HP the mth term is n and the nth term is m implying for the AP formed: a+(m-1)d= $\frac{1}{n}$ ;a +(n-1)d= $\frac{1}{m}$ Subtracting the two equations you get d= $\frac{1}{mn}$ Putting value of d in any one of the above equations you get a=d = $\frac{1}{mn}$ Now solving for mn which is 210 you get $\frac{1}{mn}$ +(mn-1) $\frac{1}{mn}$ =1=

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