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Hertz are used to measure cycles per second. Sound is measured in hertz. I hope I understood the question.
first square the first term then multiply the first and second term and multiply by 2 finally square the second term
There are at least two possibilities for this analogy: The second term is half the first, or the second term is the first term minus 10. The first possibility results in 6:3 and second in 6:-4.
Each term is a square or triangular number. In the context of the sequence of square numbers, the first term is the first square number, the second term is the second square number and so on.
That refers to AC (alternating current). A direct current flows only in one direction; an alternating current changes its direction all the time. The "frequency" refers to how often the current changes direction. It is expressed in hertz (Hz), which means the same as cycles/second.