Answer :
Final answer:
The incorrect number in the sequence 25, 36, 49, 81, 121, 169, 225 is 81, as the pattern is consecutive odd perfect squares, and 81 is the square of 9, an even number.
Explanation:
The student is asking for the identification of the wrong number in a given sequence. The sequence given is: 25, 36, 49, 81, 121, 169, 225. To find the wrong number, we look for a pattern or rule that the numbers should follow but one number does not. A pattern that can be seen is that most of these numbers are perfect squares, specifically square numbers of integers.
Here is the sequence with the corresponding square root in parentheses: 25 (5^2), 36 (6^2), 49 (7^2), 81 (9^2), 121 (11^2), 169 (13^2), 225 (15^2). Upon inspection, the list mostly consists of consecutive odd perfect squares, except for 81, which is the square of 9, an even number and not consecutive after 49 (7^2). Therefore, 81 is the number not fitting in with the pattern here.
