Find the next term in the given series 9, 54, 135, 252,?
2024
Find the next term in the given series 9, 54, 135, 252,?
Answer: B. 405 — Explanation: Determine the pattern by examining differences between consecutive terms. Step 1: Compute consecutive differences: 54 − 9 = 45, 135 − 54 = 81,…
- A.
400
- B.
405
- C.
380
- D.
420
Attempted by 51 students.
Show answer & explanation
Correct answer: B
Explanation: Determine the pattern by examining differences between consecutive terms.
Step 1: Compute consecutive differences: 54 − 9 = 45, 135 − 54 = 81, 252 − 135 = 117.
Step 2: Notice the differences form an arithmetic sequence increasing by 36: 81 − 45 = 36 and 117 − 81 = 36. So the next difference is 117 + 36 = 153.
Step 3: Add the next difference to the last term: 252 + 153 = 405.
Therefore the next term in the series is 405.
Loading lesson…