已知{an}是等差數(shù)列,a1+a2+.+a50=200,a51+a52+.+a100=2700,則a1等于多少.
已知{an}是等差數(shù)列,a1+a2+.+a50=200,a51+a52+.+a100=2700,則a1等于多少.
數(shù)學(xué)人氣:339 ℃時(shí)間:2020-01-30 00:05:12
優(yōu)質(zhì)解答
因?yàn)閧an}是等差數(shù)列,且a1+a2+.+a50=200,a51+a52+.+a100=2700所以(a51+a52+.+a100)-(a1+a2+.+a50)=(a51-a1)+(a52-a2)+...+(a100-a50)=50d+50d+...+50d=2500d=2700-200=2500故d=1又S50=50*(a1+a50)/2=200所以a1+a50=8...
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