Question

1, 101, 154, 29, -93, 43, -192, ? What number should replace the question mark?

Answer 1

Given:

1, 101, 154, 29, -93, 43, -190, ?

To find:

?

Solution:

Break the given series into two parts:

Series:

1, 101, 15, 4, 29, - 93, 43, - 190, ?​

First part:

1, 15, 29,  43, ?​

Second part:

101, 4, - 93, - 190

Find the pattern in the first part of the series:

$\to 1 + 14 = 15\\\\\to 15 + 14 = 29\\\\\to 29 + 14 = 43$

Similarly,

$\to 43 + 14 = 57$

Find the pattern in the second part of the series:

$\to 101 - 97 = 4\\\to 4 - 97 = - 93\\\to - 93 - 97 = - 190$

That's why the missing number is 57

Answer 2

Answer:

Break the given series into two parts:

Series:

1, 101, 15, 4, 29, - 93, 43, - 190, ?

First part:

1, 15, 29, 43, ?

Second part:

101, 4, - 93, - 190

Find the pattern in the first part of the series:

\begin{gathered}\to 1 + 14 = 15\\\\\to 15 + 14 = 29\\\\\to 29 + 14 = 43\\\\\end{gathered}

→1+14=15

→15+14=29

→29+14=43

Similarly,

\to 43 + 14 = 57→43+14=57

Find the pattern in the second part of the series:

\begin{gathered}\to 101 - 97 = 4\\\to 4 - 97 = - 93\\\to - 93 - 97 = - 190\end{gathered}

→101−97=4

→4−97=−93

→−93−97=−190

That's why the missing number is 57