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Sergo9NAta
@Sergo9NAta
June 2021
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Помогите пожалуйста номер 21,23
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21)) для n-ного члена арифм.прогрессии: аn = а1 + (n-1)*d
значит, а6 = а1 + 5*d
a3 = a1 + 2*d = 9.4
a5 = a1 + 4*d = 11.6
получили систему... решим ее...
а1 = 9.4 - 2d
9.4 - 2d + 4d = 11.6
2d = 2.2
d = 1.1
a6 = 9.4 - 2.2 + 5*1.1 = 9.4 + 3.3 = 12.7
23)) b7 = 5^11 b8 = 5^12
q = b8/b7 = 5
для n-ного члена геом.прогрессии: bn = b1 * q^(n-1)
b1 = bn / q^(n-1)
b1 = b7 / q^6 = 5^11 / 5^6 = 5^5
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Answers & Comments
Verified answer
21)) для n-ного члена арифм.прогрессии: аn = а1 + (n-1)*dзначит, а6 = а1 + 5*d
a3 = a1 + 2*d = 9.4
a5 = a1 + 4*d = 11.6
получили систему... решим ее...
а1 = 9.4 - 2d
9.4 - 2d + 4d = 11.6
2d = 2.2
d = 1.1
a6 = 9.4 - 2.2 + 5*1.1 = 9.4 + 3.3 = 12.7
23)) b7 = 5^11 b8 = 5^12
q = b8/b7 = 5
для n-ного члена геом.прогрессии: bn = b1 * q^(n-1)
b1 = bn / q^(n-1)
b1 = b7 / q^6 = 5^11 / 5^6 = 5^5