Multiple choice

Directions: Given below is a series. Analyse the pattern of the series and answer the question that follows. Series: 9, 45, 48, 240, 243, 1215 The first term of a new series following the same pattern is 6. What would be the 5th term of the new series?

  1. 165

  2. 840

  3. 843

  4. 168

  5. 33
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D Correct answer
Explanation

Pattern: 9 * 5 = 45, 45 + 3 = 48, 48 * 5 = 240, 240 + 3 = 243, 243 * 5 = 1215. The pattern is *5, +3. New series starting with 6: 6 * 5 = 30, 30 + 3 = 33, 33 * 5 = 165, 165 + 3 = 168. The 5th term is 168.

AI explanation

The given series follows an alternating pattern of multiplying by 5 and then adding 3. Applying this exact same pattern to the new starting number of 6, the terms are calculated as follows: 6 * 5 = 30, 30 + 3 = 33, 33 * 5 = 165, and 165 + 3 = 168. Therefore, the fifth term of the new series is 168.

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