1/2+1/6+1/12+1/20+...+1/2352+1/2450
S= 1/2 + 1/6 + 1/12 + 1/20 +... + 1/2352 + 1/2450 (phân số)
=(100+121+144):(169+196)
=365:365
=1
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{2352}+\frac{1}{2450}\\ \)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{49.50}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{49}-\frac{1}{50}\)
\(=1-\frac{1}{50}\)
\(=\frac{49}{50}\)
S=1/2+1/6+1/12+1/20+...+1/2352+1/2450
hãy tính dãy số trên
các bạn nhớ ghi cách giải
S=1/2+1/6+...............+1/2450
S=1/1.2+1/2.3+............+1/49.50
S=1-1/2+1/2-1/3+..........+1/49-1/50
S=1-1/50
S=49/50
S=1/2+1/6+...............+1/2450
S=1/1.2+1/2.3+............+1/49.50
S=1-1/2+1/2-1/3+..........+1/49-1/50
S=1-1/50
S=49/50
S=1/2+1/6+1/12+1/20+...+1/2352+1/2450
S=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/48-1/49+1/49-1/50
S=1-1/50
S=49/50
Vậy S=49/50
tính tổng : S = 1/2 + 1/6 + 1/12 + ... + 1/2352 + 1/2450
\(=>S=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{48.49}+\frac{1}{49.50}\)
\(=>S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+..+\frac{1}{48}-\frac{1}{49}+\frac{1}{49}-\frac{1}{50}=\frac{1}{1}-\frac{1}{50}=\frac{49}{50}\)
vậy S=49/50
49/50 nha bn
Thực hiện các phép tính sau một cách hợp lí :
\(\left(\frac{5}{12}+1\frac{4}{3}-0,25\right):\frac{5}{8}+0,15\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+........+\frac{1}{2352}+\frac{1}{2450}\)
câu 2:
\(\frac{1}{2}+\frac{1}{6}+...+\frac{1}{2450}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{49.50}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{49}-\frac{1}{50}\)
\(=1-\frac{1}{50}\)
\(=\frac{49}{50}\)
A = 1/2 + 1/6 + 1/12 + 1/20 + ... + 1/2450 + 1/2550
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{2450}+\frac{1}{2550}\)
\(A=\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{49x50}+\frac{1}{50x51}\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{49}-\frac{1}{50}+\frac{1}{50}-\frac{1}{51}\)
\(A=1-\frac{1}{51}=\frac{50}{51}\)
Tính hợp lí :
a. D = 2 + 6 + 12 + 20 + .......... + 2352 + 2450 + 2550
Help me please
12+1 + 22+2 + 32+3 + 42+4 + ... + 482+48 + 492+49 + 502+50
= (1+2+3+4+..+48+49+50) +(12+22+32+42+...+482+492+502)
Đến đay bạn tự tính nha
Tính A = 1/2 + 1/6+ 1/12 + 1/20 + ...+ 1/2450 + 1/ 2550
Tính A=1/2+1/6+1/12+1/20+...+1/2450+1/2550
tính A= 1/2+1/6+1/12+1/20+....+1/2450+1/2550
A=1/1x2+1/2x3+1/3x4+1/4x5+...+1/49x50+1/50x51
A=2-1/1x2+3-2/2x3+4-3/3x4+...+50-49/49x50+51-50/50x51
A=1-1/2+1/2-1/3+1/3+1/4+...-1/49+1/49-1/50+1/50-1/51
A=1-1/51
A=51/51-1/51
A=50/51
tick nha