Jawahar Navodaya Vidyalaya Selection Test (JNVST)

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Series Completion: Identifying patterns and extending sequences

🚀 Series completion is a fascinating topic that involves identifying patterns in a sequence of numbers or objects and predicting what comes next. It's like solving a puzzle where you need to find the hidden rule that connects the items in the series. This concept is crucial for the JNVST as it tests your ability to think logically and recognize patterns, which are essential skills in mathematics and everyday life.

Examples💡

Example 1: Consider the series 2, 4, 6, 8, ... What comes next? Here, the pattern is that each number is increasing by 2. So, the next number will be 8 + 2 = 10.
Example 2: Look at the series 5, 10, 20, 40, ... What comes next? The pattern here is that each number is being multiplied by 2. Therefore, the next number will be 40 x 2 = 80.
Example 3: Consider the series 1, 4, 9, 16, ... What comes next? This series is made up of square numbers: 1^2, 2^2, 3^2, 4^2, so the next number will be 5^2 = 25.

Common Mistakes to Avoid⚠️

  • Mistake 1: Not identifying the correct pattern. Always check if the pattern involves addition, subtraction, multiplication, or division.
  • Mistake 2: Forgetting to apply the pattern consistently. Ensure that the rule you identify works for all the numbers in the series.
  • Mistake 3: Overcomplicating the pattern. Sometimes the pattern is simple, so don't overthink it.