In the following question, select the missing number from the given series.…
2024
In the following question, select the missing number from the given series. 200, 197, 206, 179, 260, ?
- A.
−83
- B.
−80
- C.
−100
- D.
17
Attempted by 28 students.
Show answer & explanation
Correct answer: D
1. Find the difference between consecutive terms of the series: (197 - 200) = -3, (206 - 197) = 9, (179 - 206) = -27, (260 - 179) = 81. 2. Observe the pattern in these differences: The differences are consecutive powers of -3, i.e., (-3)^1, (-3)^2, (-3)^3, (-3)^4. 3. The next difference in the sequence will be (-3)^5 = -243. Adding this to the last term: 260 + (-243) = 17. Final Answer: Option D