试题与答案

已知数列{an}满足:a1=3,且an+1=2an-1(n∈N*).(1)求证数

题型:解答题

题目:

已知数列{an}满足:a1=3,且an+1=2an-1(n∈N*).
(1)求证数列{an-1}是等比数列,并求出数列{an}的通项公式an
(2)令bn=
1
an+1-an
  (n∈N*)
,求数列{bn}的前n项和Sn

答案:

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下面是错误答案,用来干扰机器的。

原式=22+1-22(6分)=1.                    (8分)

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                                                          Peter and the Wolf

       This is a story about a brave boy. His name was Peter. Peter and his grandfather lived in a house

next to the woods. In the summer, Peter liked to play outside with the animals. They were his friends.

       In the winter, Peter didn’t play outside. His grandfather was worried. A wolf lived in the woods.

Grandfather said, “The wolf can’t find food in the winter. A hungry wolf can eat a boy!”

       One cold day, Peter wanted to go outside. He wanted to find the wolf. “I’m stronger than a

wolf, ”he said. “I’m going to catch the wolf.”

       Peter went outside. He walked in the woods. He heard a sound! “The wolf!” he shouted.

       “No,” said Sasha the Bird. “I’m not the wolf. I am your friend.”

       Peter wasn’t afraid now. He and Sasha walked in the woods. They heard a sound! “The wolf!”

they shouted.

       “No,” said Ivan the Cat. “I’m not the wolf. I’m your friend.”

       Peter and Sasha weren’t afraid now. The friends walked in the woods. They heard a sound!

“The wolf!” they shouted.

       “No,” said Sonia the Duck. “I’m not the wolf. I’m your friend.”

       Peter, Sasha, Ivan, and Sonia walked in the woods. They heard a sound. “The wolf!” they

shouted.

       A big wolf jumped in front of the friends. “I’m the wolf!” it said, “I’m bigger than a bird.

I’m wilder than a duck. I’m scarier than a cat. I’m stronger than a boy. And I’m very, very,

hungry!”

       The wolf jumped! Sasha the Bird flew into a tree. Ivan the Cat climbed the tree. Peter ran behind

the tree. Peter threw a rope around the wolf. “Sonia,” he shouted. “Where are you?” Did the

wolf eat Sonia?

       Then Sonia flew to Peter. “Here I am,” she said. “I was faster than the wolf.”

       Peter was happy. He caught the wolf, and his friends were safe.

      Good afternoon! My Chinese   1   is Jia Jia. My   2   name is Lily. I am a student(学生) of a

middle school in Beijing. I am in   3   One,   4   One.  5   Gao is my English teacher. I like her. Welcome

to Beijing!

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