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Question

The sum of the series 6250+3750+2250+...+486 is 


A
2(5535)
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B
56+36 
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C
5636
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D
2(5636)
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Solution

The correct option is C 5636
Prime factorisation of 6250=2×55
Prime factorisation of 3750=2×54×3
Prime factorisation of 2250=2×53×32
Prime factorisation of 486=2×35

 6250+3750+2250+...+486
=2(3125+1875+1125+...+243)=(53)(55+543+5332+...+35)=5636




 

Mathematics

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