摘要:已知数列{an}满足:a1=1, an+1 =2an +3 A.210-3 B. 211-3 C.212-3 D.213-3
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已知数列{an}满足a1=1,an+1=2an+1(n∈N*).
(1)求数列{an}的通项公式;
(2)若数列{bn}满足![]()
…
=
(n∈N*),证明:{bn}是等差数列;
(3)证明:
-
<
+
+…+
<
(n∈N*).
已知数列{an}满足a1=1,an+1=2an+1(n∈N*).
(1)求数列{an}的通项公式;
(2)若数列{bn}满足![]()
…
=
(n∈N*),证明{bn}是等差数列;
(3)证明
(n∈N*).
已知数列{an}满足an+1+an-1=2an(n≥2),a1=f(1),a2=f(2),其中f(x)=2x-1,数列{an}的前n项和为Sn.
(1)求数列{an}的通项公式;
(2)证明:{
}为等差数列;
(3)若bn=(-1)nSn,求数列{bn}的前n项和Tn.
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(1)求数列{an}的通项公式;
(2)证明:{
| 3n+2Sn | n |
(3)若bn=(-1)nSn,求数列{bn}的前n项和Tn.