Next term of the following series is:

To find the next term, we analyze the pattern in the numerator letters, denominator letter, and the exponent.

1. Numerator Letters

First letter: A(1) → C(3) → E(5) → G(7). The pattern is +2. Next letter is I(9).

Second letter: G(7) → K(11) → O(15) → S(19). The pattern is +4. Next letter is W(23).

So, the numerator is IW.

2. Denominator Letter

d(4) → g(7) → j(10) → m(13). The pattern is +3. Next letter is p(16).

3. Exponent

6 → 21 → 45 → 78.

Differences: 21-6=15, 45-21=24, 78-45=33.

The differences increase by 9 each time (15, 24, 33). Next difference is 33+9=42.

Next exponent: 78 + 42 = 120.

Conclusion

The next term is (IW/p)^120.