Find the  wrong term  in the following series: 4, 14, 45, 142, 427, 1292

Solution

ATQ, Try to see a pattern from one term to the next: 4 → 14: 4×3 + 2 = 14 14 → 45: 14×3 + 3 = 45 Expect the pattern to continue with consecutive primes being added after multiplying by 3: Next should be: 45×3 + 5 = 135 + 5 = 140 But the series has 142 instead of 140. Check the next step using the correct logic: 140 → next term: 140×3 + 7 = 420 + 7 = 427 (matches the series) 427 → next: 427×3 + 11 = 1281 + 11 = 1292 (matches the series) So only 142 breaks the pattern. Wrong term = 142.