已知數(shù)列{an},a1=1,an+1=2an2+an,則該數(shù)列的通項(xiàng)公式為an= _ .
已知數(shù)列{a
n},a
1=1,
an+1=,則該數(shù)列的通項(xiàng)公式為a
n= ___ .
優(yōu)質(zhì)解答
因?yàn)?span>
an+1=
,所以
-=∵a
1=1,∴
=1∴{
}是首項(xiàng)為1,公差為
的等差數(shù)列
∴
=1+(n-1)×=,
∴a
n=
故答案為:
我來回答
類似推薦
- 已知數(shù)列{an}的各項(xiàng)都為正數(shù),a1=1,前n項(xiàng)和Sn滿足Sn-Sn-1=根號(hào)Sn+根號(hào)Sn-1(n≥2),求數(shù)列{an} 的通項(xiàng)公式
- 數(shù)列{an}中,a1=1,an=2根號(hào)an-1(n>1),求{an}的通項(xiàng)公式
- 數(shù)列an中a1=1,且對(duì)任意n皆有1/根號(hào)a1+1/根號(hào)a2+.+1/根號(hào)an=1/2根號(hào)an*an+1,求an通項(xiàng)公式
- 數(shù)列{An}滿足A1=1,A(n+1)=根號(hào)An+An+1/4 (n(-N),求該數(shù)列的通項(xiàng)公式
- 正項(xiàng)數(shù)列{an}中,前n項(xiàng)和為Sn,a1=2,且an=2[根號(hào)(2Sn-1)]+2(n≥2),求數(shù)列{an}的通項(xiàng)公式
- 一道電能表計(jì)算
- 電磁打點(diǎn)計(jì)時(shí)器和電火花打點(diǎn)計(jì)時(shí)器哪個(gè)誤差大?為什么?
- 簡(jiǎn)要說明西歐莊園經(jīng)濟(jì)的特點(diǎn)?
- 2,3,4,5,6,7,8,9這些數(shù)用加,減號(hào)怎樣能=10.(負(fù)數(shù)也算)
- 當(dāng)氫氣球飛到天上會(huì)怎么樣?
- 鋼筋符號(hào)讀法
- for him,it would be a __________to be able to have a day off work.A good B Luxury