SOLUTION: In the sequence 456, 471, 483, 498, ... each term is equal to the previous term added to the sum of its digits. A number NOT in the sequence is a) 1869 b) 1950 c) 3477 d) 456

Algebra ->  Sequences-and-series -> SOLUTION: In the sequence 456, 471, 483, 498, ... each term is equal to the previous term added to the sum of its digits. A number NOT in the sequence is a) 1869 b) 1950 c) 3477 d) 456      Log On


   



Question 1188392: In the sequence 456, 471, 483, 498, ... each term is equal to the previous term added to the sum of its digits. A number NOT in the sequence is
a) 1869 b) 1950 c) 3477 d) 4569 e) 5789

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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In the sequence 456, 471, 483, 498, ... each term is equal to the previous term
added to the sum of its digits. A number NOT in the sequence is
a) 1869 b) 1950 c) 3477 d) 4569 e) 5789
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In the given sequence, each term is divisible by  3 

(which is easy to prove, looking at the first term and using the rule of divisibility by 3).



In the given list, the number 5789 is the only number which IS NOT divisible by 3; 

so this number DEFINITELY does not belong to the given sequence.

Solved.