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bradobrey
@bradobrey
July 2022
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Второй член арифметической прогрессии равен 1, а пятый член -7. Найти 1000-й член арифметической прогрессии.
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kalbim
Verified answer
A2 = 1, a5 = 7
a2 = a1 + d = 1, a1 = 1 - d
a5 = a1 + 4d = 7, a1 = 7 - 4d
a1000 = a1 + 999d
1 - d = 7 - 4d
3d = 6
d = 2
a1 = 1 - 2 = -1
a1000 = -1 + 999*2 = 1997
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Answers & Comments
Verified answer
A2 = 1, a5 = 7a2 = a1 + d = 1, a1 = 1 - d
a5 = a1 + 4d = 7, a1 = 7 - 4d
a1000 = a1 + 999d
1 - d = 7 - 4d
3d = 6
d = 2
a1 = 1 - 2 = -1
a1000 = -1 + 999*2 = 1997