In order to determine whether 34n – 43n is divisible by 17 or not, we have to first understand the concept of divisibility. Divisibility is a concept of arithmetic in which a number can be divided by another number without leaving a remainder.

To determine whether 34n – 43n is divisible by 17 or not, we have to look at the expression 34n – 43n.

34n – 43n = -9n

Since -9n is a multiple of 9, it can be further simplified as:

-9n = -17 x (n/2)

Thus, -9n is divisible by 17. Therefore, 34n – 43n is also divisible by 17.

To summarize, the expression 34n – 43n is divisible by 17.

Explanation with relevant definitions and formulas:

Divisibility: Divisibility is a concept of arithmetic in which a number can be divided by another number without leaving a remainder.

Formula:

34n – 43n = -9n
-9n = -17 x (n/2)

Therefore, 34n – 43n is divisible by 17.

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