A=8/2*6+8/6*10+8/10*14+.................................+8/18*22 =?
B=2/4+2/28+2/70+2/130+2/208 = ?
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a) n(n+2)
b) (3n-2)3n
c) ( 1) 1 n n 2
d) 1+n2 e) n(n+5)
f) (3n-2)(3n+1)
g) n ( n 3) 2 n n
h) ( 1)( 2) 2
i) n ( n 1)( n 2)
a) Ta thấy :
U1 = 1 . 3 ; U2 = 2 . 4 ; U3 = 3 . 5 ; ... ; Un = n . ( n + 2 )
c) U1 = 1 ; U2 = 1 + 2 ; U3 = 1 + 2 + 3 ; U4 = 1 + 2 + 3 + 4 ; U5 = 1 + 2 + 3 + 4 + 5 ; ... : Un = 1 + 2 + 3 + ... + n
d) 2 + 3 = 5 ; 5 + 5 = 10 ; 10 + 7 = 17 ; 17 + 9 = 26 ; ...
f) 4 = 1 . 4 ; 28 = 4 . 7 ; 70 = 7 . 10 ; 130 = 10 . 13 ; 208 = 13 . 16 ; ...
g) 2 + 3 = 5 ; 5 + 4 = 9 ; 9 + 5 = 14 ; 14 + 6 = 20 ; ...
i) 2 + 6 = 8 ; 8 + 12 = 20 ; 20 + 20 = 40 ; 40 + 30 = 70 ; ...
Dãy số có 2 chữ số chia hết cho 3 là:[12,15,....,99]
Khoảng cách của từng số hạng là 3
Số số hạng là: (99-12):3+1=30(số)
Vậy có 30 số có 2 chữ số chia hết cho 3
D = 2 + 4 - 6 - 8 + 10 + 12 - 14 - 16 + 18 + 20 - 22 - 24 + ... + 205 + 206 - 207 - 208
D = ( 2 + 4 - 6 - 8 ) + ( 10 + 12 - 14 - 16 ) + ( 18 + 20 - 22 - 24 ) + ... + ( 205 + 206 - 207 - 208 )
D = ( -8 ) + ( -8 ) + ( -8 ) + ... + ( -8 )
D = ( -8 ) . 104
D = -832
a; \(\dfrac{1}{4}\) + \(\dfrac{2}{5}\) + \(\dfrac{6}{8}\) + \(\dfrac{9}{15}\) + \(\dfrac{8}{1}\)
= (\(\dfrac{1}{4}\) + \(\dfrac{6}{8}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{9}{15}\)) + \(\dfrac{8}{1}\)
= (\(\dfrac{1}{4}\) + \(\dfrac{3}{4}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{3}{5}\)) + 8
= 1 + 1 + 8
= 2 + 8
= 10
b; \(\dfrac{1}{2}\) + \(\dfrac{2}{4}\) + \(\dfrac{3}{6}\) + \(\dfrac{4}{8}\) + \(\dfrac{5}{10}\) + \(\dfrac{6}{12}\) + \(\dfrac{7}{14}\) + \(\dfrac{8}{16}\) + \(\dfrac{10}{20}\)
= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x (\(\dfrac{2}{2}\) + \(\dfrac{3}{3}\) + \(\dfrac{4}{4}\) + \(\dfrac{5}{5}\)+ \(\dfrac{6}{6}+\dfrac{7}{7}+\dfrac{8}{8}\) + \(\dfrac{10}{10}\))
= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x (1 + 1 +1 + 1+ 1+ 1+ 1 +1)
= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) x 1 x 8
= \(\dfrac{1}{2}\) + \(\)\(\dfrac{1}{2}\) x 8
= \(\dfrac{1}{2}\) + 4
= \(\dfrac{9}{2}\)
a; \(\dfrac{1}{4}\) + \(\dfrac{2}{5}\) + \(\dfrac{6}{8}\) + \(\dfrac{9}{15}\) + \(\dfrac{8}{1}\)
= (\(\dfrac{1}{4}\) + \(\dfrac{6}{8}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{9}{15}\)) + 8
= (\(\dfrac{1}{4}\) + \(\dfrac{3}{4}\)) + (\(\dfrac{2}{5}\) + \(\dfrac{3}{5}\)) + 8
= 1 + 1 + 8
= 2 + 8
= 10
b; \(\dfrac{1}{2}\) + \(\dfrac{2}{4}\) + \(\dfrac{3}{6}\) + \(\dfrac{4}{8}\) + \(\dfrac{5}{10}\) + \(\dfrac{6}{12}\) + \(\dfrac{7}{14}\) + \(\dfrac{8}{16}\) + \(\dfrac{9}{18}\) + \(\dfrac{10}{20}\)
= \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\) + \(\dfrac{1}{2}\)
= \(\dfrac{1}{2}\) x 10
= 5
nhóm cứ hai số liên tiếp lại vs nhâu sẽ đk quy luật tổng của toàn số -2
A=2-4+6-8+10-12+14-16+18-20+22-24+26-28+30-32
A= (-2)+(-2)+(-2)+(-2)+(-2)+(-2)+(-2)+(-2)
A= -16