Nonetheless Syndrome...😉

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This sequence has an ending term.

Can you find its last term :

12 , 22 , 201 , 1202 , 2021 , ...

The answer is 21.

1 solution

Vinay Sipani
May 23, 2014

This sequence is a palindrome which is to be guessed from the hint " Nonetheless Syndrome " and also from the condition that there is an ending term.

The complete sequence is:

$\boxed{12 , 22 , 201 , 1202 } , \boxed{2021 , 102 , 22 , 21}$ The right box is the palindrome of the left one.

Thus,the last term is 21.

Note:

This can also be thought of as a sequence in base 3 but it is not because there is no definite sequence in base 10.

There is nothing in the question to hint that the answer is a palindrome. It would likely be better to give the first 7 terms, and then ask what the last term is.

How is "Nonetheless syndrome" a hint that it's a palindrome?

Calvin Lin Staff - 7 years ago

Primarily,the palindromic pattern can be creatively recognized even with those five terms using the condition of having an ending term without any hints.

Secondarily,the hint is just to add a fun and is a medium of creativity or diversion for the solvers. The word palindrome is to be cracked from its rhyme 'syndrome'. Also,for the first time,some think palindrome as a type of syndrome which is the purpose of the word 'nonetheless'.

Vinay Sipani - 7 years ago

Nonetheless Syndrome...😉

The answer is 21.

1 solution

Note:

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