英语翻译1.Determine the smallest natural number n,such that the
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英语翻译
1.Determine the smallest natural number n,such that the greatest common divisor of 8n + 11 and 5n + 9 is greater than or equal to two!
2.Let a1,a2,a3 denote the \x1crst three terms of a geometrical sequence,for which a1 + a2 + a3 = 26.a1 + 3,a2 + 4,a3 − 3 are the \x1crst three terms of an arithmetical sequence.Find the \x1crst term and the common quotient (ratio) of the geometrical sequence!
Let a1,a2,a3 denote the fi\x1crst three terms of a geometrical sequence,for which a1 + a2 + a3 = 26.a1 + 3,a2 + 4,a3 − 3 are the fi\x1crst three terms of an arithmetical sequence.Find the fi\x1crst term and the common quotient (ratio) of the geometrical sequence!
1.Determine the smallest natural number n,such that the greatest common divisor of 8n + 11 and 5n + 9 is greater than or equal to two!
2.Let a1,a2,a3 denote the \x1crst three terms of a geometrical sequence,for which a1 + a2 + a3 = 26.a1 + 3,a2 + 4,a3 − 3 are the \x1crst three terms of an arithmetical sequence.Find the \x1crst term and the common quotient (ratio) of the geometrical sequence!
Let a1,a2,a3 denote the fi\x1crst three terms of a geometrical sequence,for which a1 + a2 + a3 = 26.a1 + 3,a2 + 4,a3 − 3 are the fi\x1crst three terms of an arithmetical sequence.Find the fi\x1crst term and the common quotient (ratio) of the geometrical sequence!
1、确定一个最小的自然数,使8n+11和5n+9的最大公约数大于等于2
2、a1,a2,a3是某等比数列的前三项,且a1+a2+a3=26.
a1+3,a2+4,a3-3是某等差数列的前三项.
求等比数列的第一项和公比.
第一题自己算了.
2、设公比为d.则有:a2=a1*d,a3=a1*d²; 2(a2+4)=(a1+3)+(a3-3)
则:a1+a1*d+a1*d²=26 2(a1*d+4)=(a1+3)+(a1*d²-3)
解得:a1=18=d=1/3 或者a1=2,d=3
2、a1,a2,a3是某等比数列的前三项,且a1+a2+a3=26.
a1+3,a2+4,a3-3是某等差数列的前三项.
求等比数列的第一项和公比.
第一题自己算了.
2、设公比为d.则有:a2=a1*d,a3=a1*d²; 2(a2+4)=(a1+3)+(a3-3)
则:a1+a1*d+a1*d²=26 2(a1*d+4)=(a1+3)+(a1*d²-3)
解得:a1=18=d=1/3 或者a1=2,d=3
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