19, 26, 33, 46, 59, 74, 91

Go on subtracting 24, 21, 18, 15, 12, 9 from the numbers to get the next number.

190 - 24 = 166
166 - 21 = 145
145 - 18 = 127 [Here, 128 is placed instead of 127]
127 - 15 = 112
112 - 12 = 100 ... and so on.

Therefore, 128 is wrong.

Go on subtracting 3 and dividing the result by 2 to obtain the next number.

Clearly, 46 is wrong.

Numbers must be (14)², (13)², (12)², (11)², (10)², (9)², (8)².

So, 80 is wrong.

Go on multiplying with 1, 2, 3, 4, 5, 6 to get next number.

So, 96 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.

A x 2 + 1, B x 3 + 1, C x 2 + 1, D x 3 + 1 and so on.

So, 356 is wrong.

Each even term of the series is obtained by multiplying the previous term by 2.

2^nd term = (1^st term) x 2 = 6 x 2 = 12

4^th term = (3^rd term) x 2 = 48 x 2 = 96.

6^th term = (5^th term) x 2 = 384 x 2 =768.

∴ 4^th term should be 96 instead of 100.

Go on dividing by 4 to get the next number.

So, 200 is wrong.

Go on multiplying 2 and adding 1 to get the next number.

So, 39 is wrong.

Go on adding 7, 9, 11, 13, 15, 17, 19 respectively to obtain the next number.

So, 135 is wrong.