Question

Find the missing number.
\[52,59,71,88,?,137\]
(a).114
(b) 112
(c) 113
(d) 110
(e) none of these

Answer 1

Hint: To find the missing number we have to determine the common difference between the two-consecutive number.
Formulas used:
Last number – first number = common difference.

Complete step-by-step answer:
First step will be to determine the common difference pattern.
The missing number can be obtained by knowing the common difference and then add to the next number to be determined.
The missing number can be obtained as,
\[\begin{align}
  & 52,59,71,88,?,137 \\
 & \text{Common difference pattern,} \\
 & 59-52=7 \\
 & 71-59=12=7+5 \\
 & 88-71=17=7+10 \\
 & \text{Therefore},\text{ }?-88=7+15 \\
 & ?=88+22 \\
 & ?=110 \\
\end{align}\]
Thus, the missing number is 110.
So, the correct answer is “Option D”.

Note: The missing number of any sequence can be obtained by looking at their difference pattern of addition or subtraction, In this sequence the common difference pattern is addition 5 to every next number.