等差数列{AN}中,公差为1/2,且A1+A3+A5······+A99=60,则A1+A2+A3······A99+A100等于多少?
问题描述:
等差数列{AN}中,公差为1/2,且A1+A3+A5······+A99=60,则A1+A2+A3······A99+A100等于多少?
答
a1+a3+a5+···+a99
=(a1+a99)*50/2=60
a1+a99=2.4
a1+a100=a1+(a99+d)=2.4+1/2=2.9
a1+a2+a3+···+a100
=(a1+a100)*100/2
=145