Question

Identify the missing number in the pattern given below.

$1,4,15,64,?,1956$

• A. 345
• B. 245
• C. 305
• D. 325

Answer 1

The correct option is D 325

We are given the following pattern.
$1,4,15,64,?,1956$

Term 1: $1$

Term 2: $1\times 2+2=4$

Term 3: $4\times 3+3=15$

Term 4: $15\times 4+4=64$

Every term in the pattern is obtained by multiplying and then adding a particular number.
The numbers used so far are $2,3,\text{and}4.$

$\therefore$ The next term is obtained by multipying and adding $5$ to the previous term, which is 64.

Term 5: $64\times 5+5=325$

Hence, the missing number is 325.