Multiple choice

In the following number series find the missing term- $10 23 43 74 120 ?$

  1. $174$
  2. $184$
  3. $185$
  4. $165$
  5. $168$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Calculate the differences between consecutive terms: 23-10=13, 43-23=20, 74-43=31, 120-74=46. Now analyze the second differences: 20-13=7, 31-20=11, 46-31=15. The second differences increase by 4 each time (7, 11, 15). The next second difference should be 15+4=19, so the next first difference is 46+19=65. Therefore, the next term is 120+65=185.