Quantum world problem

[Vikramjeet Gill 1C]

An excited hydrogen atom emits light with a frequency of 1.14 x 1014 Hz to reach the energy level for which n=4. In what principle quantum level did the electron begin?

Okay so I've looked up the answer for the problem and it is 6 but when I use the equation (n final = 4)
E=-hR(1/n^2final - 1/n^2initial), I keep getting the answer 3.

Even when I use the equation E=-hR/n^2

can someone do this problem in detail so I know what im doing wrong.

[Mindy Kim 4C]

To solve this problem using the Rydberg formula:

Remember that the formula calculates frequency, not energy, based on the energy levels of the electron. Therefore, the formula is
frequency=R(1/ninitial^2-1/nfinal^2)

Plugging everything in, you get:
1.14x10^14 Hz=3.29x10^15 Hz(1/ninitial^2-1/16)
ninitial^2=1.14x10^14 Hz/3.29x10^15 Hz + 1/16
ninitial=6