Question

In the following questions below, one term in the given number series is wrong. Find out the wrong term
8, 14, 26, 48, 98, 194, 386

• A. 14
• B. 48
• C. 98
• D. 194

Answer 1

The Correct Option is B

To determine the incorrect term in the series 8, 14, 26, 48, 98, 194, 386, let's analyze the pattern. We'll identify any deviations by calculating the expected progression:

The series appears to be doubling each term and then adding an additional increment. Let's try to find this pattern:

• 8 (Start)
• 8 × 2 = 16 (16 - 2 = 14, so we subtract 2 to get the second term)
• 14 × 2 = 28 (28 - 2 = 26, subtracting 2 gives the third term)
• 26 × 2 = 52 (52 - 4 = 48 is the alleged fourth term, but following the discovered pattern, it would logically be expected to subtract one less than twice the previous increment)

Let's evaluate the possible increments more systematically by identifying possible recurring numbers:

Series Term	Calculation	Pattern Consistency
8	-	-
14	8 × 2 - 2	Consistent
26	14 × 2 - 2	Consistent
48	26 × 2 - 4 2	Inconsistent
98	48 × 2 - 2	Expected if consistent pattern (recalculated)

The evaluated pattern suggests that 48 is incorrect because it disrupts the increasing doubling increments pattern. Therefore, the feasible term should be:

26 × 2 - 2 = 50

Hence the correct term should be 50, not 48. Thus, 48 is indeed the wrong term, deviating from the established rule sequence. Consequently, the wrong term is 48.