tinh hop ly
A=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+...+1/16(1+2+3+...+16)
ghi ro cach lam nha
mik tick cho
Tinh P giup minh voi : P = 1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+...+1/16(1+2+3+...+16) . Ban nao lam duoc thi giup minh nha . Minh se tick ung ho .
1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+...+1/16(1+2+3+4+...+16) ? tinh hop ly
Tinh
D= \(\frac{\frac{1}{3}+\frac{1}{17}-\frac{1}{13}}{\frac{2}{3}+\frac{2}{17}-\frac{2}{13}}.\frac{\frac{3}{4}-\frac{3}{16}+\frac{3}{64}-\frac{3}{256}}{1-\frac{1}{4}+\frac{1}{16}-\frac{1}{64}}+\frac{5}{8}\)
Trinh bay cach lam nhe
Ko hieu vao DOC THEM
1+2+3+4+5+6+...+99+100=?(ghi ro cac cach lam thi moi dung)
Dãy trên có số số hạng là :
( 100 - 1 ) : 1 + 1 = 100 ( số )
Tổng của dãy trên là :
( 100 + 1 ) x 100 : 2 = 5050
1. so sanh :
a ) A = 275 . 323 và B = 616.
b ) A = 1+ 2+ 22 + 23+ ... + 22016 và B = 22017
CAC BAN GHI RO CACH LAM , PHÂN TÍCH KẾT QUẢ NHA
AI NHANH MK CHO THẬT NHIỀU TICK
NHANH LEN NHA MK CAN GAP LAM LAM LUON LUON DO
a) So sánh: 275.323 và B=616
Ta có:
*275.323 =( 33) 5 . (25)3
= 315.215
* 616= (2.3)16 =316.216
Vậy: 275.323 < 616
b) A= 1+2 + 22 + 23+.....+ 2 2016 và B= 22017
Ta đặt A= 1+2 + 22 + 23+.....+ 2 2016
2A= 2 + 22 + 23+......+ 22017
2A -A= (2+ 22 + 23+.....+ 2 2017) - (1+2 + 22 + 23+.....+ 2 2016 )
Suy ra A= 22017 -1
Mà 22017 -1 < 22017
Nên 1+2 + 22 + 23+.....+ 2 2016 < B= 22017
Thuc hien phep tinh sau bang cach hop li nhat:
a)5/11+1/2+2/5+6/11+3/4+16/25+5/16
b)19/4+37/100+1/8+132/25+5/2+37/12
5/11+1/2+2/5+6/11+3/4+16/25+5/16
=1441/400
19/4+37/100+1/8+132/25+5/2+37/12
=1933/120
Ban lam sao duooc nhu the giai ra cho minh voi
Tinh bang cach hop li
1/2+1/4+1/8+1/16+1/32
\(A=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
=> \(2A=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\)
=> \(2A-A=\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}\right)-\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\right)\)
=> \(A=1-\frac{1}{32}=\frac{31}{32}\)
tinh bang cach thuan tien nhat
1/2+1/6+1/12+1/20
1/2+1/6+1/12+1/20+..........+1/9900
1/2+1/3+1/4+1/8+1/16
1/2+1/3+1/4+1/8+1/16+........+1/512
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}\)
\(=1-\frac{1}{5}\)
\(=\frac{4}{5}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{9900}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{98.99}+\frac{1}{99.100}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}+\frac{1}{100}\)
\(=1-\frac{1}{100}\)
\(=\frac{99}{100}\)
tinh bang cach thuan tien nhat
1/2+1/6+1/12+1/20
1/2+1/6+1/12+1/20+.........+19900
1/2+1/3+1/4+1/8+1/16
1/2+1/3+1/4+1/8+1/16+.......+1/512