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Part 1
Find the arithmetic mean a Subscript n of the given terms.
a Subscript n minus 1equals5​, a Subscript n plus 1equalsminus4

To find the arithmetic mean, we need to calculate the average of two terms. Let's denote the given terms as aₙ₋₁ and aₙ₊₁.

The arithmetic mean aₙ is given by the equation:

aₙ = (aₙ₋₁ + aₙ₊₁) / 2

Substituting the given values:
aₙ = (5 + (-4)) / 2
aₙ = 1 / 2
aₙ = 0.5

Therefore, the arithmetic mean aₙ is 0.5.