已知{an}是公差為2的等差數(shù)列,其前8項(xiàng)和為64.{bn}是公比大于0的等比數(shù)列,b1=4,b3-b2=48.
(Ⅰ)求{an}和{bn}的通項(xiàng)公式;
(Ⅱ)求{1anan+1}的前n項(xiàng)和Pn;
(Ⅲ)求{anbn}的前n項(xiàng)和Tn.
{
1
a
n
a
n
+
1
}
{
a
n
b
n
}
【考點(diǎn)】錯(cuò)位相減法.
【答案】(Ⅰ);
(Ⅱ);
(Ⅲ).
a
n
=
2
n
-
1
,
b
n
=
4
n
(Ⅱ)
n
2
n
+
1
(Ⅲ)
T
n
=
5
9
-
6
n
+
5
9
?
4
n
【解答】
【點(diǎn)評(píng)】
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發(fā)布:2024/8/29 0:0:8組卷:269引用:3難度:0.7
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