Question

What is the next number in the sequence $100,52,28,16,10,\_\_$.

• A. $5$
• B. $6$
• C. $7$
• D. $8$

Answer 1

The correct option is C

$7$

Explanation for the correct option:

The sequence is $100,52,28,16,10,\_\_$.

The pattern is:

$\begin{array}{rcl}\frac{100}{2}+2& =& 52\\ \frac{52}{2}+2& =& 28\\ \frac{28}{2}+2& =& 16\\ \frac{16}{2}+2& =& 10\end{array}$

So, from the above pattern, the next number after $10$ will be:

$\frac{10}{2}+2=7$

Hence, option (C) is correct.