摘要: 16; 13. ; 14. 2, 1. 三.解答题:
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已知n为正偶数,用数学归纳法证明1-
+
-
+…+
-
=2(
+
+…+
)时,若已假设n=k(k≥2,k为偶数)时命题为真,则还需要用归纳假设再证n= 时等式成立.
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| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| n-1 |
| 1 |
| n |
| 1 |
| n+2 |
| 1 |
| n+4 |
| 1 |
| 2n |
已知n为正偶数,用数学归纳法证明1-
+
-
+…+
=2(
+
+…+
)时,若已假设n=k(k≥2)为偶数)时命题为真,则还需要用归纳假设再证n=( )时等式成立.
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| n+1 |
| 1 |
| n+2 |
| 1 |
| n+4 |
| 1 |
| 2n |
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用数学归纳法证明“1+
+
+
+…+
≤n”(n∈N+)时,从“n=k到n=k+1”时,左边应增添的式子是
+
+
+…+
+
+
+…+
.
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| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 2n-1 |
| 1 |
| 2k |
| 1 |
| 2k+1 |
| 1 |
| 2k+2 |
| 1 |
| 2k-1-1 |
| 1 |
| 2k |
| 1 |
| 2k+1 |
| 1 |
| 2k+2 |
| 1 |
| 2k-1-1 |
在数列{an}中,an=1-
+
-
+…+
-
,则ak+1=( )
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 2n-1 |
| 1 |
| 2n |
A、ak+
| ||||
B、ak+
| ||||
C、ak+
| ||||
D、ak+
|