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Topic: Palindrome (Read 1552 times) 

dsd
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Palindrome
« on: Mar 6^{th}, 2010, 12:52am » 
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Hello everyone!!! could you guy takes a look at this problem for me I'm totally lost... thnx... A palindrome is a number that reads the same forwards as backwards. Give the next three palindrome number after a_{1}a_{8}a_{6}a_{3}a_{2}a_{4}a_{8}a_{8 }that are divisible by 3, and explain your method for finding them. (For example, the next palindrome number after 119 is 121, and the next after that is 131, etc. Do not count leading O's as part of a number.) next three:___________________________ How did you find them?? Explain please.......

« Last Edit: Mar 6^{th}, 2010, 2:34am by dsd » 
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Grimbal
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Re: Palindrome
« Reply #1 on: Mar 8^{th}, 2010, 2:03am » 
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on Mar 6^{th}, 2010, 12:52am, dsd wrote:a_{1}a_{8}a_{6}a_{3}a_{2}a_{4}a_{8}a_{8} 
 what do you mean by this? Quote:(For example, the next palindrome number after 119 is 121, and the next after that is 131, etc. 
 But 121 and 131 are not divisible by 3. The trick would be to take the first half of the digits and create a sequence from that. The rest is just a mirror image. For example, starting from 339374545 you take the first half (rounded up) 33937 and start counting 33937 > 339373933 33938 > 339383933 33939 > 339393933 33940 > 339404933 33941 > 339414933 then make sure the first is > the initial number and keep only the multiple of 3.


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