Discussion
Look at the series : 8, 43, 11, 41 ______, 39, 17. What number should fill in the blank ?
Answer: D
The missing number is 14.
The series is two series interleaved. Taking every other term:
\[ \begin{aligned} &8,\ 11,\ \underline{\ \ },\ 17 \quad (+3) \\ &43,\ 41,\ 39 \quad (-2) \end{aligned} \]
The blank is the third term of the first series, \(11 + 3 = 14\), and the next term \(14 + 3 = 17\) confirms it. 8 and 43 repeat the first terms, and 44 would break both patterns.
In alternating series, it helps to split the terms by position (first, third, fifth and so on) whenever the numbers jump up and down instead of moving steadily.
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