14
14
It is 17 because it is a prime number whereas all the rest are composite numbers
are you sure it is not1 2 3 6 8 7 14 16because that sequence doubles for the first one, then adds two for the next number, then subtracts one for the third, then repeats. So the next number is 15.
A single number, such as 4642142824816 does not constitute a sequence.
365 would be next because you multiply the last number by three then subtract one.
365 since the pattern is times three minus one
The differences between the pairs of numbers up to that point are 31, 32, 33, 34. If the difference between the fifth number and the sixth number is equal to 35, that would make the next number equal to 122 + 243 = 265.
Let's see. 122 + 14 = 136. 136 + 14 = 150. 150 + 14 = ?
365.
The pattern in the sequence is that each number is obtained by multiplying the previous number by 3 and subtracting 1. 1 x 3 - 1 = 2 2 x 3 - 1 = 5 5 x 3 - 1 = 14 14 x 3 - 1 = 41 41 x 3 - 1 = 122 Therefore, the next number in the sequence would be 122 x 3 - 1 = 365.
The number 7 comes next.
119. un = (-n4 + 15n3 - 77n2 + 225n + 192)/6
41 should be in between 14 and 122
22
14
2,5,14 - - 122 Difference between 5 & 2 = 3 = 3^(1) Difference between 14 & 5 = 9 = 3^(2) This leads one to suppose the next difference will be 3^(3) = 27 Hence 14 + 27 = 41 Similarly the next difference again will 3^(4) = 81 Hence 41 + 81 = 122 As required. So the sequence is 2,5,14,41,122. NB The next difference again is 3^(5) = 243 Hence 122 + 243 = 365 is the next term in the sequence. =