Decode the logic...
What comes next?
1 1 0 0 1 0 , 1 2 1 2 , 3 0 2 , 2 0 0 , 1 2 2 , 1 0 1 , 6 2 , 5 5 , ?
HINT:- The first number gives a good hint.
The answer is 50.
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1 solution
The sequence can be written in closed form with its general term a n as,
( a n ) n + 1 = ( 5 0 ) 1 0
, where ( x ) y depicts x written in base y . The sequence starts from n = 1 with ( a 1 ) 2 = ( 5 0 ) 1 0 ⟹ a 1 = 1 1 0 0 1 0
Nice.... .
110010 is the binary equivalent of 50.
1212 is the ternary equivalent of 50.
302 is the quaternary equivalent of 50.
200 is the quinary equivalent of 50.
122 is the senary equivalent of 50.
101 is the septenary equivalent of 50.
62 is the octal equivalent of 50.
55 is the nonary equivalent of 50.
So next must be decimal equivalent of 50 which is 50