The problem requires us to identify the incorrect term in the sequence: 11, 5, 20, 12, 40, 26, 74, 54. Let’s analyze the pattern: Observe pairs of the series: 1. 11 and 5 2. 20 and 12 3. 40 and 26 4. 74 and 54 The series builds from alternating addition and subtraction:
Step 1: From 11 to 5, subtract 6.
Step 2: From 5 to 20, add 15.
Step 3: From 20 to 12, subtract 8.
Step 4: From 12 to 40, add 28.
Step 5: From 40 to 26, subtract 14.
Step 6: From 26 to 74, add 48.
Step 7: From 74 to 54, subtract 20.
Upon analyzing, there is a sequence pattern:
n
Operation
Difference
1
subtract
6
2
add
15
3
subtract
8
4
add
16
5
subtract
8
6
add
24
7
subtract
12
The difference doesn't steadily increase. Specifically, from 12 to 40, the expected addition should be 16, not 28. Therefore, 40 is incorrect. Correcting this by adding 16 results in 28.