Choose the missing term out of the given alternatives:

E4, G9, J25, O49, V121, ?, T289

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.

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Now analyzing the numbers: 4, 9, 25, 49, 121, ?, 289

These are perfect squares:

$4 = 2^2$

$9 = 3^2$

$25 = 5^2$

$49 = 7^2$

$121 = 11^2$

$289 = 17^2$

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: $13^2 = 169$

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Therefore, the missing term is G169.

The answer is Option 2: G169