Jawahar Navodaya Vidyalaya Selection Test (JNVST)
Your gateway to quality education at Jawahar Navodaya Vidyalaya
Series Completion: Identifying patterns and extending sequences
🚀 Series completion involves identifying patterns in a sequence of numbers or objects and predicting the next item in the series. This concept is crucial for developing logical thinking and problem-solving skills. In the JNVST, students are often asked to find the missing number in a sequence or to determine the rule governing the sequence. Patterns can be based on arithmetic operations like addition, subtraction, multiplication, or division, or they can involve more complex rules like alternating sequences or geometric progressions.
Examples💡
Example 1: Consider the series 2, 4, 6, 8, __. Here, each number increases by 2. So, the next number is 10.
Example 2: Look at the series 5, 10, 20, 40, __. Each number is multiplied by 2. Therefore, the next number is 80.
Example 3: In the series 1, 4, 9, 16, __, each number is a square of consecutive natural numbers (1^2, 2^2, 3^2, 4^2). The next number is 25 (5^2).
Common Mistakes to Avoid⚠️
- Mistake 1: Not identifying the correct pattern. Solution: Carefully observe the differences or ratios between consecutive terms.
- Mistake 2: Confusing arithmetic and geometric sequences. Solution: Remember that arithmetic sequences have a constant difference, while geometric sequences have a constant ratio.
- Mistake 3: Ignoring alternating patterns. Solution: Check if the sequence alternates between two or more patterns.