Find the wrong term in the given series: 6, 11, 18, 27, 34, 51, 66, 83
2022
Find the wrong term in the given series: 6, 11, 18, 27, 34, 51, 66, 83
Answer: A. 34 — CONCEPTWhen a number series follows consecutive odd increments, the difference between each adjacent pair should increase by 2. A wrong term disturbs the two…
- A.
34
- B.
51
- C.
83
- D.
11
Attempted by 5 students.
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Correct answer: A
CONCEPT
When a number series follows consecutive odd increments, the difference between each adjacent pair should increase by 2. A wrong term disturbs the two differences that meet at that term.
APPLICATION
The first differences are 11 − 6 = 5, 18 − 11 = 7, and 27 − 18 = 9.
The next increment should be 11, so the term after 27 should be 27 + 11 = 38.
Continuing gives 38 + 13 = 51, 51 + 15 = 66, and 66 + 17 = 83, matching the remaining listed terms.
CROSS-CHECK
Replacing 34 with 38 produces the difference sequence 5, 7, 9, 11, 13, 15, 17. Therefore, the wrong term is 34.