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Find all three digit natural numbers of the form such that are in geometric progression. (Here is representation in base 10).

  1. Find all three digit natural numbers of the form (abc)_{10}  such that (abc)_{10} , (bca)_{10} ,(cab)_{10} are in geometric progression. (Here (abc)_{10}  is representation in base 10).

Grade:11

3 Answers

Jayakrishna Natarajan
39 Points
8 years ago
There are just 9 numbers which satisfy, the condition... That too only if constant GP’s can be taken...
the numbers are 111, 222, 333, 444, 555, 666, 777, 888, 999...No other 3 digit numbers satisfy the condition...
Ankit Jaiswal
165 Points
8 years ago
hi
There are just 9 numbers which satisfy, the condition... That too only if constant GP’s can be taken...
the numbers are 111, 222, 333, 444, 555, 666, 777, 888, 999...No other 3 digit numbers satisfy the condition...
manmath
49 Points
8 years ago
 
hi There are just 9 numbers which satisfy, the condition... That too only if constant GP’s can be taken... the numbers are 111, 222, 333, 444, 555, 666, 777, 888, 999...No other 3 digit...
 
   

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