Find the seventh term of the arithmetic progression -5; -2 by the formula find the eighth term of the arithmetic progression Аn = 7 + 2n.
The task consists of two parts, in each of which it is required to calculate a certain term of the given arithmetic progression.
An arithmetic progression is given, the common term of which is denoted by an, and a1 = -5 and a2 = -2. It is required to find a7. According to the definition, the step (difference) d of this arithmetic progression is d = a2 – a1 = -2 – (-5) = 3. Using the following formula for calculating the nth term of the arithmetic progression an = a1 + d * (n – 1), we have: a7 = a1 + d * (7 – 1) = -5 + 3 * 4 = -5 + 12 = 7.
An arithmetic progression is given, the common (n-th) term of which is given by the formula аn = 7 + 2 * n. It is required to find the eighth term of this arithmetic progression. We have: a8 = 7 + 2 * 8 = 7 + 16 = 23.
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