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Консультация № 192073
09.12.2017, 16:08
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Найдите формулу n -го члена последовательности (xnn),
задан-ной рекуррентным соотношением: x1=2 x(n+1)(n+1)=-2xn n для всех
n принадлежащих N.
Найдите формулу n -го члена последовательности (xnn),
задан-ной рекуррентным соотношением: x1=2 x(n+1)(n+1)=-2xn n для всех
n принадлежащих N.
Прикрепленные файлы:
Обсуждение
19.12.2017, 15:15
общий
это ответ
Здравствуйте, cat!
Запишем первые несколько членов последовательности:
Очевидно, что n-ый член представляет собой n-ую степень числа 2, причём чётные члены (2-й, 4-й, 6-й и т.д.) берутся со знаком "минус". Тогда общая формула n-го члена последовательности будет иметь вид
(множитель (-1)[sup]n+1[/sup] обеспечивает знак "минус" при чётных n).
Запишем первые несколько членов последовательности:
Очевидно, что n-ый член представляет собой n-ую степень числа 2, причём чётные члены (2-й, 4-й, 6-й и т.д.) берутся со знаком "минус". Тогда общая формула n-го члена последовательности будет иметь вид
(множитель (-1)[sup]n+1[/sup] обеспечивает знак "минус" при чётных n).
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