Question

Select the option for "?" that continues the pattern $2,7,26,101,400$, ? .

• A. $1595$
• B. $800$
• C. $695$
• D. $1840$

Answer 1

The correct option is A

$1595$

Step-1: Identify relation between first two digit $2$ and $7$:

The second digit is obtained by multiplying first digit by four and then and subtracting one from it.

$\begin{array}{rcl}\left(2\times 4\right)-1& =& 8-1\\ & =& 7\end{array}$

Step-2: Identify relation between second and third digit $7$ and $26$:

The third digit is obtained by multiplying second digit by four and then and subtracting two from it.

$\begin{array}{rcl}\left(7\times 4\right)-2& =& 28-2\\ & =& 26\end{array}$

Step-3: Identify the missing number by applying the same relation:

Multiplying fifth digit by four and then and subtracting five from it.

$\begin{array}{rcl}\left(400\times 4\right)-5& =& 1600-5\\ & =& 1595\end{array}$

Therefore, the correct option is option A.