Let's see. 122 + 14 = 136. 136 + 14 = 150. 150 + 14 = ?
976
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.
41 should be in between 14 and 122
123
Let's see. 122 + 14 = 136. 136 + 14 = 150. 150 + 14 = ?
122
976
119. un = (-n4 + 15n3 - 77n2 + 225n + 192)/6
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.
41 should be in between 14 and 122
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. =
123
41 122 365
It depends. If the pattern is -2 , *3, -2, *3 etc then 30 If the pattern is Un = (-16n5 + 275n4 -1770n3 + 5275n2 - 7124n + 3480)/30, then the next number is 122.
There is a mistake in the question -fourth number should not be 122² = 45² = 258² = 6411² = 121 (not 12)14² = 19617² = 289so add 3 to previous number then square it17 + 3 = 20then 20² = 400 next number
The next number works out as 365