1/1 × 3 + 1/3 × 5 + ... + 1/y × ( y × 2 ) = 20/41
2 câu trả lời
Đáp án : y=39
11×3+13×5+...
2/{ 1 xx 3 } + 2/{ 3 xx 5 } + .... + 2/{ y xx ( y + 2 ) } = 40/41
1 - 1/3 + 1/3 - 1/5 + .... + 1/y - 1/{y+2} = 40/41
1 - 1/{y+2} = 40/41
1/{y+2} = 1 - 40/41
1/{y+2} = 1/41
y + 2 = 41
y = 41 - 2
y = 39
Đặt A = 1/(1xx3) + 1/(3 xx 5) + ... + 1/(y xx(y+2)) = 20/41
=> 2A = 1/1 - 1/3 + ... + 1/y - 1/(y+2) = 20/41
<=> (y+2-1)/(y+2) = 20/41
=> (y+1)/(y+2) = 20/41
=> A <=> (y+1)/(y+2) = 40/41
<=> y = 40 - 1 = 39
#AC