Multiple choice

Find the missing term in the following progression series: 6, ?, 21, 33, 48.

  1. 10

  2. 14

  3. 12

  4. 18

  5. 20
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C Correct answer
Explanation

The differences are: ?-6, 21-?, 33-21=12, 48-33=15. The differences are increasing by 3. If the missing term is 12, differences are 6, 9, 12, 15. This fits.

AI explanation

The differences between the consecutive known terms of the series are calculated as 33 minus 21 equals 12, and 48 minus 33 equals 15. This indicates the differences between consecutive terms increase by 3, meaning the first difference should be 6. Adding 6 to the first term 6 gives the missing term as 12, which fits perfectly before 21 because 21 minus 12 equals 9.

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