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PUZZLET 089

Arithmetic Progressions and Palindromes

An arithmetic progression 2, 5, 8 . . . has the 54th term of 262. The sum of all 54 terms is 6996. Both the term and the sum of terms are palindromes. Is there another AP whose first term and difference are both single digits, with both the nth term and the sum of n terms being palindromes, where n is not less than 50, the sum isn't greater than 30000, and the difference between successive terms is greater than 1?


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Last Updated: January 13th, 2010.