Find the incorrect number in the series: 18, 20, 23, 32, 48, 73, 109.

Fresh day ravishrivas2121, let's solve. To find the incorrect number in the series, we will analyze the differences between consecutive terms. The given series is: 18, 20, 23, 32, 48, 73, 109. Step 1: Calculate the differences between consecutive terms. 20 - 18 = 2 23 - 20 = 3 32 - 23 = 9 48 - 32 = 16 73 - 48 = 25 109 - 73 = 36 The sequence of differences is 2, 3, 9, 16, 25, 36. Step 2: Identify the pattern in the differences. We observe that the last four differences are perfect squares: 9 = 3^2 16 = 4^2 25 = 5^2 36 = 6^2 This suggests that the pattern of differences should be consecutive squares starting from 1^2. Step 3: Determine the expected sequence of differences. The expected differences are 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, which are 1, 4, 9, 16, 25, 36. Step 4: Reconstruct the series using the first term and the expected differences to find the incorrect number. • The first term is 18. • The second term should be 18 + 1^2 = 18 + 1 = 19. (The given second term is 20). • The third term should be 19 + 2^2 = 19 + 4 = 23. (The given third term is 23, which matches). • The fourth term should be 23 + 3^2 = 23 + 9 = 32. (The given fourth term is 32, which matches). • The fifth term should be 32 + 4^2 = 32 + 16 = 48. (The given fifth term is 48, which matches). • The sixth term should be 48 + 5^2 = 48 + 25 = 73. (The given sixth term is 73, which matches). • The seventh term should be 73 + 6^2 = 73 + 36 = 109. (The given seventh term is 109, which matches). Comparing the given series (18, 20, 23, 32, 48, 73, 109) with the reconstructed series (18, 19, 23, 32, 48, 73, 109), the number 20 is incorrect as it should be 19 to follow the pattern. The incorrect number in the series is 20. What's next? Send 'em!