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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、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