Question

Find the missing term:

101, 100, ?, 87, 71, 46

• A. 92
• B. 88
• C. 89
• D. 96

Answer 1

The correct option is D 96

The difference between 6th and 5th terms : $46-71=-25$ or -$5^2$

The difference between 5th and 4th terms : $71-87=-16$ or -$4^2$

The difference between 2th and 1th terms : $100-101=-1$ or -$1^2$

With this pattern, the difference between 4th and 3rd terms would be -$3^2$,

hence the missing term would be $87+9=96.$