TÍNH NHANH : ^_^
D = 2+6++10+...+94+98+102
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=15.(1/90.94+1/94.98+....+1/146.150) =15.1/4(1/90-1/94+1/94-1/98+1/9 --......+1/150 =15/4.(1/90 - 1/150) =15/4.1/1225 =1/60 NHỚ nhấn đúng nha
a) số các số là:
(99-1)/2+1=50(số)
tổng các số là:
(99+1)*50/2=2500
b) số các số là:
(99-1)/1+1=99(số)
tổng các số là:
(99+1)*99/2=4950
c) số các số là:
(102-2)/2=51(số)
tổng các số là:
(102+2)*51/2=2652
Đáp số: a)2500
b)4950
c)2652
số số hạng là
(100 - 2) :2 + 1= 50
tổng là
(100+2) x 50 : 2 =2550
ĐS 2550
Từ 2 den 100 co so so hang la : (100-2):2+1=50 So so hang Tong tu 2 den 100 la: (100+2)x50:2=2550 don vi
Có khó lắm đâu
Q=2-4+6-8+10-12+...+98-100+102
=2+(6-4)+(10-8)+(14-12)+...+(98-96)+(102-100)
=2+(2+2+2+...+2) (50 chữ số 2)
=2+50
=52
Số các số hạng của Q là:
(102-2):2+1=51 số
Vậy có 25 thừa số (-2) và + với 102
Q=(-2)x25+102
Q=(-50)+102
Q=52
A=100-98+...+4-2(100 -98 =2 là 1 cặp => A có 25 cặp)
=25 . 2 =50
b ( mk hok bt lm )
C=1+2-3-4+5+6-7-8+...-95-96+97+98( 1+2-3-4 là 1 cặp => có 24 cặp dưa 97 và 98)
= (24 . -4) + 97 + 98 =-96 + 97 + 98 =99
T I C K mk nha!!
S = 1 + 3 + 5 + 7 + ...+ 97 + 99
S = (1+99).[(99-1) : 2 + 1] : 2
S = 100.50 : 2
S = 100.25
S = 2500
phần còn lại bn dựa vào mak lm nha\
a:
Số số hạng của dãy số 1;2;3;...;102 là:
\(\frac{102-1}{1}+1=\frac{101}{1}+1=101+1=102\) (số)
1-2+3-4+5-6+...+101-102+103
=(1-2)+(3-4)+(5-6)+...+(101-102)+103
\(=\left(-1\right)+\left(-1\right)+\cdots+\left(-1\right)+103\)
\(=\left(-1\right)\cdot\frac{102}{2}+103=103-51=52\)
b: Sửa đề: 2-4+6-8+10-12+...+98-100+102
Số số hạng của dãy số 2;4;6;8;...;98;100 là:
\(\frac{100-2}{2}+1=\frac{98}{2}+1=49+1=50\) (số)
2-4+6-8+10-12+...+98-100+102
=(2-4)+(6-8)+(10-12)+...+(98-100)+102
=(-2)+(-2)+...+(-2)+102
\(=-2\cdot\frac{100}{2}+102\)
=-100+102
=2
c: Số số hạng trong dãy 16;18;20;22;...;64;66 là:
\(\frac{66-16}{2}+1=\frac{50}{2}+1=25+1=26\) (số)
16-18+20-22+...+64-66+68
=(16-18)+(20-22)+...+(64-68)+68
=(-2)+(-2)+...+(-2)+68
\(=\left(-2\right)\cdot\frac{26}{2}+68\)
=68-13
=55
Có số số hạng là :
( 102 - 2 ) : 4 + 1 = 26 ( số hạng )
Tổng của dãy là :
( 102 + 2 ) x 26 : 2 = 1352
Đáp số : 1352
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