78.
Fit the quartic polynomial
t(n) = (7n4 - 66n3 + 221n2 - 186n + 216)/24 for n = 1, 2, 3, ...
24, they are going up in 3's, 13, 16, 19 and 18, 21 so next number is 24.
6 is.
Every next number is increased by 5. The next number in the sequence is 23.
18
The next number in the sequence is 18. It's +1, +2, +3, +4, ....
The pattern alternates between two sequences: one decreasing by 1 (18, 13) and the other decreasing by 2 (4, 6). Following this pattern, the next number after 6 should be 3 (6 - 3), and the next number after 13 should be 12 (13 - 1). Thus, the next two numbers in the sequence are 12 and 3.
The next number is 116.
18 b/c the pattern is +1,+2,+3...
21
24, they are going up in 3's, 13, 16, 19 and 18, 21 so next number is 24.
6 is.
The nest number in the sequence is 18. Note that the difference between each number and the next number in the sequence follows the simple sequence of 1,2,3,4. Obviously the next in the sequence of increases is 5, so 13+5=18.
1 2 3 4 .12 & .13 & .15 & .18 & .22
24
18
18
The pattern appears to be: subtract 6, add 17, subtract 14, add 9, subtract 7. Following this pattern, the next number should be obtained by adding 3 to the last number in the sequence, which is 6. Therefore, the next number in the sequence is 9.