The terms are alternatively multiplied by 1.5 and divided by 3. However, 18.5 does not satisfy it.
The Sum of the digits in each number, Except 324 is 10.
Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.
In each number except 383, the product of first and third digits is the middle one.
1, 1 + 12 = 2, 2 + 22 = 6, 6 + 32 = 15, 15 + 42 = 31, 31 + 52 = 56, 56 + 62 = 92
Last number of given series must be 92 not 91.
The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8.
So, the next number is 8 x 9 = 72.
Subtract 1, 3, 5, 7, 9, 11 from successive numbers.
So, 34 is wrong.
Let the given numbers be A, B, C, D, E, F, G.
Then, A, A x 1 + 1, B x 2 + 2, C x 3 + 3, D x 4 + 4, E x 5 + 5, F x 6 + 6 are the required numbers.
Clearly, 228 is wrong.
The differences between two successive terms from the beginning are 7, 5, 7, 5, 7, 5.
So, 40 is wrong.
The digits on either side of the letter in each of the groups 1P6, 2T0, and 1R8 indicate the place value of the letter in the alphabet.
This pattern is not followed by 2Y4.
Each number is twice the preceding one with 1 added or subtracted alternatively.
So, the next number is (2 x 261 + 1) = 523.
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