Find the term that comes next in the series:
\text{Z676, X576, U441, Q289, L144, \_\_\_\_\_\_}}
- AE36
- BF36
- CF25
- DG25
Solution & Step-by-step Explanation
Let's split each term into its letter component and numeric component:
Letter tracking:
Alphabetical ranks: , , , , .
Let's see the differences:
Following this pattern, the next step should decrease by :
Numeric tracking:
Notice that each number corresponds to the square of the alphabetical rank of its paired letter:
For the next letter (rank ):
Combining both components gives .
Letter tracking:
Alphabetical ranks: , , , , .
Let's see the differences:
Following this pattern, the next step should decrease by :
Numeric tracking:
Notice that each number corresponds to the square of the alphabetical rank of its paired letter:
For the next letter (rank ):
Combining both components gives .