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IB MAI HL Number and Algebra Topic 1.2 Sequences & Series (id: fa5b4360f)

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admin 发表于 2024-2-9 14:58:15 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Number and Algebra Topic 1.2 Sequences & Series,类别为 IB数学

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Consider the sequenc*hobs2;4)mw 4l,( x cntomc -lwmgfx1e cit ,tf.x t;a:$u_1$ , $u_2$ , $u_3$ , ... , $u_n$ , ... where
$u_1$=860, $u_2$=980, $u_3$=1100, $u_4$=1220.
The sequence continues in the same manner.
1.Find the value of $u_{50}$.
$u_{50}$=  .
2.Find the sum of the first 10 terms of the sequence.
$S_{10}$=  .
Now consider the sequence $v_1$ , $v_2$ , $v_3$ , ... , $v_n$ , ... where
$v_1$=2, $v_2$=4, $v_3$=8, $v_4$=16.
This sequence continues in the same manner.
3.Find the exact value of $v_{13}$.
$v_{13}$=  .
4.Find the sum of the first 10 terms of this sequence.
$S_{10}$=  .
k is the smallest value of n for which $v_n$ is greater than $u_n$.

5.Calculate the value of k.k=  .




参考答案:
空格1: 6740空格2: 41000空格3: 8192空格4: 2046空格5: 12


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