Multiple choice

What will come next term in the following series? $6, 13, 40.5, 164, ?$

  1. $732.3$
  2. $789.2$
  3. $800.5$
  4. $822.5$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Pattern: multiply by increasing integer and add 1/n. 6×2+1=13, 13×3+1.5=40.5, 40.5×4+2=164, 164×5+2.5=822.5. Each step: previous term × (n+1) + (10/n) where n increases.