Multiple choice

Complete the series by finding the missing term from the given alternatives. $80, 63, 72, 72, 64, 81, 56, ?$

  1. $96$
  2. $98$
  3. $89$
  4. $90$
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D Correct answer
Explanation

The series is 80, 63, 72, 72, 64, 81, 56, ?. Looking at alternating terms: 80, 72, 64, 56 (subtracting 8). The other terms are 63, 72, 81 (adding 9). The next term follows the second pattern: 81 + 9 = 90.

AI explanation

Separate the series into two alternating sub-series to find the underlying pattern. The first sub-series contains the terms 80, 72, 64, 56, decreasing steadily by 8 each time. The second sub-series contains the terms 63, 72, 81, increasing steadily by 9 each time. Following this arithmetic progression, the next term is 81 + 9. The result is 90.