4 |
5 |
7 |
52 |
3n−5 |
5n−2 |
3n−2 |
5n−1 |
则
1 |
5 |
1 |
5 |
4 |
52 |
7 |
53 |
3n−5 |
5n−1 |
3n−2 |
5n |
①-②得:
4 |
5 |
3 |
5 |
3 |
52 |
3 |
5n−1 |
3n−2 |
5n |
=1+3×
| ||||
1−
|
3n−2 |
5n |
=
7×5n−12n−7 |
4×5n |
∴Sn=
7×5n−12n−7 |
16×5n−1 |
4 |
5 |
7 |
52 |
3n−2 |
5n−1 |
4 |
5 |
7 |
52 |
3n−5 |
5n−2 |
3n−2 |
5n−1 |
1 |
5 |
1 |
5 |
4 |
52 |
7 |
53 |
3n−5 |
5n−1 |
3n−2 |
5n |
4 |
5 |
3 |
5 |
3 |
52 |
3 |
5n−1 |
3n−2 |
5n |
| ||||
1−
|
3n−2 |
5n |
7×5n−12n−7 |
4×5n |
7×5n−12n−7 |
16×5n−1 |