The sixth term of the arithmetic progression is 17, the difference is 5. Find the fifth term of this progression.

Let us write in the form of a formula the ratio between the fifth and sixth terms of the arithmetic progression in terms of its difference d.

a6 = a5 + d.

Substitute the numbers known from the condition and solve the resulting equation for a5.

17 = a5 + 5;

a5 = 17 – 5 = 12.

Answer: a5 = 12.

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