Q. Find the missing term: 2, 7, 27, 107, 427, ?
✅ Correct Answer: (B)
1707
Explanation: Let's analyze the given sequence: 2, 7, 27, 107, 427, ?
Step 1: Identify the pattern
We check the relationship between consecutive terms:
2 × 3 + 1 = 7
7 × 3 + 6 = 27
27 × 3 + 26 = 107
107 × 3 + 106 = 427
Observing the pattern:
Each term follows the rule:
Next term = (Previous term x 3) + (Previous term - 1)
Step 2: Find the missing term
Applying the pattern to the last known term (427):
427 x 3 + 426 = 1281 + 426 = 1707
Thus, the missing term is 1707.
Final Answer: (B) 1707
Explanation by: Indresh Gehalot
Let's analyze the given sequence: 2, 7, 27, 107, 427, ?
Step 1: Identify the pattern
We check the relationship between consecutive terms:
2 × 3 + 1 = 7
7 × 3 + 6 = 27
27 × 3 + 26 = 107
107 × 3 + 106 = 427
Observing the pattern:
Each term follows the rule:
Next term = (Previous term x 3) + (Previous term - 1)
Step 2: Find the missing term
Applying the pattern to the last known term (427):
427 x 3 + 426 = 1281 + 426 = 1707
Thus, the missing term is 1707.
Final Answer: (B) 1707
Step 1: Identify the pattern
We check the relationship between consecutive terms:
2 × 3 + 1 = 7
7 × 3 + 6 = 27
27 × 3 + 26 = 107
107 × 3 + 106 = 427
Observing the pattern:
Each term follows the rule:
Next term = (Previous term x 3) + (Previous term - 1)
Step 2: Find the missing term
Applying the pattern to the last known term (427):
427 x 3 + 426 = 1281 + 426 = 1707
Thus, the missing term is 1707.
Final Answer: (B) 1707