Стандартная арифметическая прогрессия.
a1 = 8, S9 = 126
Sn = (a1 + an) * n / 2 = 126
(8 + a9) * 9 / 2 = 126
72 + 9 * a9 = 252
9* a9 = 180
a9 = 20
a9 = a1 + d(n-1) = a1 + 8d
8 + 8d = 20
8d = 12
d = 3/2 = 1,5
a5 = a1 + 4*d = 8 + 6 = 14
Ответ: 14
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Стандартная арифметическая прогрессия.
a1 = 8, S9 = 126
Sn = (a1 + an) * n / 2 = 126
(8 + a9) * 9 / 2 = 126
72 + 9 * a9 = 252
9* a9 = 180
a9 = 20
a9 = a1 + d(n-1) = a1 + 8d
8 + 8d = 20
8d = 12
d = 3/2 = 1,5
a5 = a1 + 4*d = 8 + 6 = 14
Ответ: 14