please it's urgent and important for me it's of 5 marks...
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please it's urgent and important for me it's of 5 marks...
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Step-by-step explanation:
Let the side of the first square be , so its area will be ;
Next square will have the diagonal equal to , so its area will be ;
And so on.
So the areas of the squares will form infinite geometric progression: , , , , , ... with common ration equal to .
For geometric progression with common ratio , the sum of the progression is , where is the first term.
So the sum of the areas will be .