Toán 1/1×2 + 1/2×3 + 1/3×4+ ……….+ 1/15×16 là 13/07/2021 By Valerie 1/1×2 + 1/2×3 + 1/3×4+ ……….+ 1/15×16 là
`1/{1 ×2} + 1/{2×3} + 1/{3×4} + … + 1/{15×16}` `= 1 – 1/2 +1/2 – 1/3 + 1/3 – 1/4 + …. + 1/15 -1/16` `= 1 + ( 1/2 – 1/2) + (1/3-1/3) + (1/4-1/4) + …. + (1/15-1/15) -1/16` `= 1 – 1/16` `= 15/16` Trả lời
CHÚC EM HỌC TỐT.
`1/{1 ×2} + 1/{2×3} + 1/{3×4} + … + 1/{15×16}`
`= 1 – 1/2 +1/2 – 1/3 + 1/3 – 1/4 + …. + 1/15 -1/16`
`= 1 + ( 1/2 – 1/2) + (1/3-1/3) + (1/4-1/4) + …. + (1/15-1/15) -1/16`
`= 1 – 1/16`
`= 15/16`