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If "Delta"r=|2^(r-1)2. 3^(r-1)4. 5^(r-1)...

If `"Delta"_r=|2^(r-1)2. 3^(r-1)4. 5^(r-1)x y z2^n-1 3^n-1 5^n-1|dot` Show that `sum_(r=1)^n"Delta"_r=Con s t a n t`

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`Delta_{r}= [[2^{r-1} , 2 . 3^{r-1} ,4 . 5^{r-1} ], [x ,y, z ], [2^{n}-1 ,3^{n-1}, 5^{n-1}]]`

`sum_{r=1}^{n} Delta r=sum_{r=1}^{n}` `[[2^{r-1} ,2 cdot 3^{r-1} ,4 cdot 5^{r-1} ], [x ,y , z ], ...
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