Question

A= 15/1.6+15/6.11 +15/11.16 +15/16.21 +15/21.26+ 15/26.31+15/31.36 

CMR; A>2

Answer 1

TA CÓ :A=15-15/6+15/6-15/11+15/11-15/16+15/16-15/21+15/21-15/26+15/26-15/31+15/31-15/36

A=15-15/36=14,5833333 >2

Answer 2

Làm

Ta có :

A = 15/1.6 + 15/6.11 + 15/11.16 + 15/16.21 + 15/21.26 + 15/26.31 + 15/31.36

A = 15. ( 1/1.6 + 1/6.11 + 1/11.16 + 1/16.21 + 1/21.26 + 1/26.31 + 1/31.36 )

A = 15 . ( 1/1 - 1/6 + 1/6 - 1/11 + 1/11-1/16 + 1/16 - 1/21 + 1/21 - 1/26 + 1/26 - 1/31 + 1/31 - 1/36 )

A = 15 . ( 1 - 1/36 )

A = 15 . ( 36 /36 - 1/36 )

A = 15 . 35/36

A = 175/12

Ta có : A = 175/12 với 2

Ta quy đồng : 

+) A=  175/12 = 175.1/12.1 = 175/12

+) 2 = 2.12/1.12 = 24/12 

Mà 175/12 > 24/12

=> 175/12 > 2

=> A > 2 ( đpcm )

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