Try This Logic Problem

Logic Level 2

35 , 43 , 50 , 55 , ? , 76 35,43,50,55,?,76

Find the missing number.

68 68 65 65 64 64 62 62

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1 solution

Chew-Seong Cheong
Jan 30, 2019

Let the n n th term of the sequence be a n a_n . Then the ( n + 1 ) (n+1) th term is given by a n + 1 = a n + s n a_{n+1} = a_n + s_n , where s n s_n is the digital sum of a n a_n . The sequence actually starts with a 0 = 31 a_0 = 31 , then a 1 = 31 + 4 = 35 a_1 = 31+4 = 35 , a 2 = 43 a_2 = 43 , a 3 = 50 a_3=50 , a 4 = 55 a_4 = 55 , a 5 = 65 a_5 = \boxed{65} , a 6 = 76 a_6 = 76 , ....

Thanks a lot!

A Former Brilliant Member - 2 years, 4 months ago

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