設(shè)第一項(xiàng)為a1,公差為d d>0
則a2=a1+d a3=a1+2d a4=a1+3d
a2+a3=2a1+3d=2
a1*a4=a1*(a1+3d)=-8
a1+3d=2-a1
a1*(a1+3d)=a1(2-a1)=-8
-a1^2+2a1+8=0
a1^2-2a1-8=0
(a1-4)(a1+2)=0
a1=4 或a1=-2
由a1*a4=-8還有更簡便的算法沒呀很簡單了
四個(gè)數(shù)列成遞增等差數(shù)列,中間的兩數(shù)和為2,首末兩項(xiàng)的積為-8,求這個(gè)數(shù),
四個(gè)數(shù)列成遞增等差數(shù)列,中間的兩數(shù)和為2,首末兩項(xiàng)的積為-8,求這個(gè)數(shù),
數(shù)學(xué)人氣:562 ℃時(shí)間:2020-05-09 01:51:02
優(yōu)質(zhì)解答
我來回答
類似推薦
- 1.求在200與400之間所有能被7整除的數(shù)的和.8729)
- 1.在等差數(shù)列{an}中,a3=-12,a3,a7,a10成等比數(shù)列,求公差d
- 已知公差不為零的等差數(shù)列的第4、7、16項(xiàng)分別是某等比數(shù)列的第4、6、8項(xiàng),則該等比數(shù)列的公比為( ) A.3 B.2 C.±3 D.±2
- 幾道數(shù)列極限的題目(要過程)
- 一道高中數(shù)列題(要過程)
- 一元一次方程x2+(2m-1)x+m2=0,有兩個(gè)實(shí)數(shù)根x1,x2 (1)求實(shí)數(shù)m的取值范圍 (2)當(dāng)x12-x22=0時(shí),求m
- 城市污染對(duì)人類有何危害
- ______ a lot of books,the boy knows much more than the boys of his age.
- Lucy often does her homework at school改為一般疑問句
- 我父親似乎很高興.My father ___ ___ ____ happy.
- much to 和 many 區(qū)別
- You are my little little apple~誰會(huì)翻譯吶
猜你喜歡
- 1描寫霧海 的四字詞語
- 2填空1:he always gets to school by s( ).2:it is ten minutes h( ) from my home to school
- 3我國唯一注入北冰洋的河流是哪條河流
- 4就是做題時(shí)候在化學(xué)式下方量的書寫方法.1:1的含義、
- 5將50mL4mol/L的AlCl3溶液與4mol/L的NaOH溶液反應(yīng)后得沉淀7.8g,所消耗NaOH溶液的體積為多少mL?
- 6幾個(gè)數(shù)的最大公因數(shù)是最小公倍數(shù)的()數(shù),幾個(gè)數(shù)的最小公倍數(shù)是最大公因數(shù)的()數(shù)
- 7需要英語的春節(jié)短語!
- 8酸根離子指什么?
- 9求解軌跡問題
- 10設(shè)f(x)=ax^2+bx+c(a≠0) ; 若f(x+1)=f(-x),求證-b/2a=1
- 11英語翻譯
- 12怎么做啊?要過程.某電視機(jī)廠某型號(hào)電視比去年增產(chǎn)40%,實(shí)際比計(jì)劃多生產(chǎn)20%,此型號(hào)電視今年實(shí)際產(chǎn)量是去年的( )%?