The whole point of using n in algebra is that it stands for an unspecified number. Until you have an equation (or inequality) that involves n and solve it for a value of n.
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5 times n (n is a variable--it is the number you are trying to find)
An index in Algebra is the integer n in a radical defining the n-th root
n^3 (n cubed)
Descending (in a sequence) means that a the next number is "more negative" or "closer to negative infinity" or "less positive" or "further from positive infinity" or if n is a number in a sequence and n+1 is the next number then n/n+1 > 1
In algebra, 8n means to multiply n and 8. (8xN)