The given series consists of squares of consecutive prime numbers
2*2, 3*3, 5*5, . . . . , 11*11, 13*13, 17*17
The pattern is -95, -85, -75, -65, . . . .
T - 2 = R
R - 2 = P
P - 2 = N
N - 2 = L
L - 2 = J
J - 2 = H
There is a gap of 4 letters between the first and second, second and third letters of each term, and also between the last letter of the term and first letter of next term
The series is bac/bac/bac/bac/bac/bac.
The pattern bac is repeated.
Take a Look at the below sereies
The terms of the given series is 1*1, 2*2 + 1, 3*3, 4*4 +1, 5*5, 6*6 + 1, . . . . .
So, 15 is wrong and must be replaced by (4*4 + 1) = 17
The pattern of given series is :
5
14 = (5x3) - 1
45 = (14x3) + 3
130 = (45x3) - 5
(?) = (130x3) + 7
=> (?) = 397
1182 = (397x3) - 9
Thus, the missing number is 397.
The given number series is 18, 90, 450, 2250, ?
18
18 x 5 = 90
90 x 5 = 450
450 x 5 = 2250
2250 x 5 = 11250
Hence, the next number in the given series is 11250.
3
3 x 1.5 + 1.5 = 6
6 x 2.5 + 2.5 = 17.5
17.5 x 3.5 + 3.5 = 64.75
64.75 x 4.5 + 4.5 = 295.875
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