等差数列an中,a2+a5=19,a7=20,该数列前9项和为?
2个回答
展开全部
a(n) = a + (n-1)d.
s(n) = na + n(n-1)d/2.
19 = a(2) + a(5) = a+d + a+4d = 2a + 5d.
20 = a(7) = a + 6d,40= 2a + 12d.
21 = 40 - 19 = (2a+12d) - (2a+5d) = 7d.d = 3.
a = 20 - 6d = 20 - 6*3= 20-18= 2.
s(9) = 9a + 36d = 9*2+36*3=18+108=126
s(n) = na + n(n-1)d/2.
19 = a(2) + a(5) = a+d + a+4d = 2a + 5d.
20 = a(7) = a + 6d,40= 2a + 12d.
21 = 40 - 19 = (2a+12d) - (2a+5d) = 7d.d = 3.
a = 20 - 6d = 20 - 6*3= 20-18= 2.
s(9) = 9a + 36d = 9*2+36*3=18+108=126
已赞过
已踩过<
评论
收起
你对这个回答的评价是?
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询