Convert it! (Problem 8)

Logic Level 3

What is the missing term in the sequence 10 1 2 , 2 4 5 , 1 3 4 , ? 3 , 1 2 7 , 2 3 8 , 1 2 6 101_2,24_5,13_4,?_3,12_7,23_8,12_6 ?

Make sure you give your answer in base 3.


The answer is 110.

B D by B D , 16, Bulgaria

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1 solution

B D
Mar 29, 2020

When you convert the numbers to base 10 you get 5 , 14 , 7 , ? , 9 , 19 , 8 5, 14, 7, ?, 9, 19,8 . The 5th letter of the English alphabet is E E , the 14th is N N , 7th - G G , 9th - I I , 19th - S S and the 8th is H H . put them one after another you get E N G ? I S H ENG?ISH . The question mark stands in the place of L L . L L is the 12 t h 12th letter of the alphabet. 1 2 10 = 11 0 3 12_{10}=\boxed{110_3}

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