Q. Find the missing term: 2, 7, 27, 107, 427, ?

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