There is a column of numbers as follows: 1,4 / 5,7 / 9,10 / 13,13 / 17,16 / 21. What is the 50th? What is the 100th?

There is a column of numbers as follows: 1,4 / 5,7 / 9,10 / 13,13 / 17,16 / 21. What is the 50th? What is the 100th?


1 = 1 / 1 Let's first look at the number of molecules in this column, which are 1, 4, 7, 10, 13, 16 The numerator is a group of arithmetic series with the first term of 1 and the tolerance of 3. The numerator of the nth number should be 1 + 3 × (n-1) = 3n-2, and N is a natural number that is not zero. Look at the denominator of the number of the series, which are 1, 5, 9, 13, 17, 21, respectively The denominator is the first item in a group



A group of integer friends are arranged in a column according to a certain rule, and the number that can be arranged in the position of runs away. Please help them find the friends who run away; (1) 5, 8, 11, 14, □, 20; (2) 1, 3, 7, 15, 31, 63, □; (3) 1, 1, 2, 3, 5, 8, □, 21


(1) 14 + 3 = 17; (2) 63 + 26 = 127; (3) 5 + 8 = 13



Fill in 1,6,5,10,9,14,13, (), () 128,64,32, (), 8, (), 2 according to the rule
0,1,3,8,21,( ),144
(8,6), (16,3), (24,2), (12,?) (what is added after twelve)
(6,9), (7,8), (10,5), (?, 13)
Reward for the right person!
1,6,5,10,9,14,13,( ),( )
128,64,32,( ),8,( ),2


1,6,5,10,9,14,13,18,17 (odd and even numbers separately) 128,64,32,16,8,4,2 (the former is twice the latter) 0,1,3,8,21,55144 (the latter is equal to three times the former minus the former) (8,6) (16,3) (24,2) (12,4) (the products are all 48) (6,9) (7,8) (1