tính tổng S 1/1.3+1/3.5+1/5.7+....+1/49.51

2 câu trả lời

Answer`:`

 Ta có`:`

`S=1/1.3+1/3.5+1/5.7+....+1/49.51`

`=>2S=2.(1/1.3+1/3.5+1/5.7+....+1/49.51)`

`=>2S=2/1.3 + 2/3.5 + 2/5.7+....+2 / 49.51`

`=>2S=1/1-1/3+1/3-1/5+1/5-1/7+....+1/49-1/51`

`=>2S=1/1-1/51`

`=>2S=50/51`

`=>S={50/51}/2`

`=>S=25/51`

Vậy `S={25}/51`

`#Boy`

Đáp án:

S=25/51

Giải thích các bước giải:

S=1/2.(2/1.3 + 2/3.5 + 2/5.7 +.....+ 2/49.51)

S=1/2.(1-1/3+1/3-1/5+1/5-1/7+.....+1/49-1/51)

S=1/2.(1-1/51)

S=1/2.50/51

S=25/51

@#lamskyyeucute

#hoidap247