Question

In each of the 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

Hint:

Check if each term follows the rule: double the previous term, then subtract 2.

Answer 1

The Correct Option is B

Step 1: Look for a relationship between consecutive terms.
Series: 8, 14, 26, 48, 98, 194, 386.
Check 8 to 14: 2 x 8 - 2 = 14. Matches.
Check 14 to 26: 2 x 14 - 2 = 26. Matches.

Step 2: Apply the same rule to the next term and compare.
Using the rule, the 4th term should be 2 x 26 - 2 = 50, but the series shows 48 instead. This is a mismatch.

Step 3: Confirm by checking the rest of the series using the corrected value.
If the 4th term is taken as 50 (not 48): 2 x 50 - 2 = 98, which matches the given 5th term.
2 x 98 - 2 = 194, which matches the given 6th term.
2 x 194 - 2 = 386, which matches the given 7th term.
Every other term fits the rule "double the previous term and subtract 2" once the 4th term is corrected to 50.

Final Answer:
The wrong term in the series is 48. \[ \boxed{48} \]