35
10
10 The sequence is given by xn = 60/n
Those are the factors of the number 60, in descending order. The next factor is 10.
The next is 3.
The sequence consists of triangular numbers, which can be calculated using the formula ( T_n = \frac{n(n + 1)}{2} ). The numbers in the sequence correspond to ( T_1, T_3, T_5, T_6, T_7, T_8, T_9 ) respectively. Following this pattern, the next number is ( T_{10} = \frac{10(10 + 1)}{2} = 55 ). Therefore, the next number in the sequence is 72.
20
The next number could be 26 The next number could be 12 - - - - - - - - - The next number that is in the sequence is 12.
10
10 The sequence is given by xn = 60/n
11
11.
11
21
Those are the factors of the number 60, in descending order. The next factor is 10.
15
22
The next number in the sequence is 20. You are alternately multiplying the previous number by two and then subtracting two.