Final answer:
The equation 'n=5 = 2n-14' does not provide a typical whole number solution for 'n' and thus is a non-example. It contrasts with common integrally-valued 'n' cases such as electron capacities in atomic shells or calculating the formal charge of an atom in chemistry.
Step-by-step explanation:
The equation 'n=5 = 2n-14' is given as a non-example because it does not conform to an expected pattern or rule. When solving for 'n', we find that the equation simplifies to 'n = 19/3', which is not an integer and thus does not fit typical patterns where 'n' represents a whole number term.
In exemplary expressions related to sequences or series, such as finding the sum of 'n' terms or the number of electrons in an atomic shell, 'n' normally takes on integer values. For instance, in chemistry, the expression '2n²' relates to the capacity of electrons within an atomic shell. This formula suggests that the number of terms 'n' is integer-valued, since the number of electrons must be a whole number. For the first shell where n = 1, '2n²' equals 2, which fits the observed electron capacity. Similarly, for the second shell where n = 2, '2n²' equals 8.
Lastly, in valence electron calculations for an isolated nitrogen (N) atom, defined by the formula 'Fc=Ve-(B+Nb)', where 'Fc' is the formal charge, 'Ve' the number of valence electrons, 'B' the number of bonds, and 'Nb' the number of nonbonding electrons, accurate integer values of 'n' are crucial to obtain correct results. For instance, with five valence electrons and two bonds, the nitrogen atom will have a different formal charge compared to having four bonds.