Question

Find the correct term of the series: \(0,\,1,\,2,\,5,\,20,\,25,\,?,\,157\)

• A. 150
• B. 125
• C. 130
• D. None of these

Hint:

For quirky series, check if operations alternate (+, $\times$, +, $\times$, …) with increasing small integers.

Answer 1

The Correct Option is A

Spot the alternating operation pattern:
\[ \begin{aligned} 0 &\; \mathbf{+1} \;= 1,
1 &\; \mathbf{\times 2} \;= 2,
2 &\; \mathbf{+3} \;= 5,
5 &\; \mathbf{\times 4} \;= 20,
20 &\; \mathbf{+5} \;= 25,
25 &\; \mathbf{\times 6} \;= 150,
150 &\; \mathbf{+7} \;= 157. \end{aligned} \] So the missing term is \( \boxed{150} \).