Looking at the sequence: E4, G9, J25, O49, V121, ?, T289
Let me analyze the letters first:
E, G, J, O, V, ?, T
Finding their positions in the alphabet:
- E = 5
- G = 7
- J = 10
- O = 15
- V = 22
- ? = ?
- T = 20
The differences between consecutive positions:
7−5=2
10−7=3
15−10=5
22−15=7
The differences form the sequence: 2, 3, 5, 7, ... (prime numbers)
The next prime number is 11.
22+11=33
Since there are only 26 letters, we take: 33−26=7
The 7th letter is G.
Now analyzing the numbers: 4, 9, 25, 49, 121, ?, 289
These are perfect squares:
4=22
9=32
25=52
49=72
121=112
289=172
The bases are: 2, 3, 5, 7, 11, ?, 17
These are consecutive prime numbers.
The missing prime between 11 and 17 is 13.
The missing number is: 132=169
Therefore, the missing term is G169.
The answer is Option 2: G169