求下列等差数列的和193+187+181+…+103 (2+4+6+8+…+98+100)-(1+3+5+9+…+97+99)
问题描述:
求下列等差数列的和
193+187+181+…+103
(2+4+6+8+…+98+100)-(1+3+5+9+…+97+99)
答
(1)公差为:193-187=6;项数为:(193-103)÷6+1=90÷6+1=16;193+187+181+…+103=(103+193)×16÷2=296×16÷2=296×(16÷2)=296×8=2368.(2)(2+4+6+…+98+100)-(1+3+5+…+97+99)=(2-1)+(4-3)+(...