30, 34, 43, 59, 84, 120, __
2025
30, 34, 43, 59, 84, 120, __
- A.
169
- B.
148
- C.
153
- D.
176
Attempted by 375 students.
Show answer & explanation
Correct answer: A
Key pattern: the differences between consecutive terms are consecutive perfect squares.
34 - 30 = 4 = 2^2
43 - 34 = 9 = 3^2
59 - 43 = 16 = 4^2
84 - 59 = 25 = 5^2
120 - 84 = 36 = 6^2
Next difference should be 7^2 = 49, so x - 120 = 49
Therefore x = 120 + 49 = 169. The correct answer is 169.