Question

Find the next number in the series: 1, 2, 5, 12, 27, ? , 121,248

• A. 58
• B. 72
• C. 60
• D. 68

Hint:

In recursive series, check whether the next term depends on the previous term through multiplication and a gradually increasing addition.

Answer 1

The Correct Option is A

Step 1: Look for a recursive pattern.
\[ 1\times2+0=2 \] \[ 2\times2+1=5 \] \[ 5\times2+2=12 \] \[ 12\times2+3=27 \] The added numbers are: \[ 0,\;1,\;2,\;3 \]

Step 2: Continue the pattern.
The next added number should be \(4\). \[ 27\times2+4=54+4=58 \] Hence, the next number is {58}