Предмет:
МатематикаАвтор:
анонимДля нахождения суммы S15 первых пятнадцати членов данной арифметической последовательности можем воспользоваться формулой суммы первых n членов арифметической последовательности Sn = (2 * a1 + d * (n - 1)) * n / 2, где а1 — первый член арифметической последовательности, d — разность арифметической последовательности.
По условию задачи, в данной арифметической последовательности разность равна 0.6, а первый член равен 6.2.
Подставляя эти значения, а также значение n = 15 в формулу для n-го члена арифметической последовательности, получаем:
S15 = (2 * a1 + d * (15 - 1)) * 15 / 2 = (2 * a1 + d * 14) * 15 / 2 = 2 * (a1 + d * 7) * 15 / 2 = (a1 + d * 7) * 15 = (6.2 + 0.6 * 7) * 15 = (6.2 + 4.2) * 15 = 10.4 * 15 = 156.
Ответ: S15 = 156.
Автор:
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