\(6^1+6^3+6^5+6^7+...+6^{99}\\ 6^2A=6^3+6^5+6^7+6^9+...+6^{101}\\ 36A-A=\left(6^3+6^5+6^7+6^9+...+6^{101}\right)-\left(6^1+6^3+6^5+6^7+...+6^{99}\right)\\ 35A=6^{101}-6\\ A=\dfrac{6^{101}-6}{35}\)
\(6^1+6^3+6^5+6^7+...+6^{99}\\ 6^2A=6^3+6^5+6^7+6^9+...+6^{101}\\ 36A-A=\left(6^3+6^5+6^7+6^9+...+6^{101}\right)-\left(6^1+6^3+6^5+6^7+...+6^{99}\right)\\ 35A=6^{101}-6\\ A=\dfrac{6^{101}-6}{35}\)
d] D=6/3*5+6/5*7+...+6/97*99
e] E=1/2*5+1/5*8+1/8*11+1/17*20
g] G=5/2*1+4/1*11+3/11*2+1/2*15+13/15*4
Tính:
a,B=1+6^2+6^4+...+6^2016
b,C=2+2^3+2^5+...+2^2017
c,D=1-7+7^2-7^3+...-7^99+7^100
d,E=100^2-99^2+98^2_97^2+...+2^2-1^2
bài 1
A=1*2*3+2*3*4+3*4*5+...+99*100*101
B=1*3*5+3*5*7+...+95*97*99
C=2*4+4*6+..+98*100
D=1*2+3*4+5*6+...+99*100
E=1^2+2^2+3^2+...+100^2
G=1*3+2*4+3*5+4*6+...+99*101+100*102
H=1*2^2+2*3^2+3*4^2+...+99*100^2
I=1*2*3+3*4*5+5*6*7+7*8*9+...+98*99*100
K=1^2+3^2+5^2+...+99^2
A=6/1*3+6/3*5+6/5*7+.....+6/99*101
D = 1 - 6 + 11 - 16 + ... + 111
F = 2^100 - 2^99 - 2^98 - ...- 2^2 - 2 - 1
E = 1 + 2 - 3 -4 +5 + 6 - 7 - 8 +....+ 249 + 250
H = 1 -2 -3 -4 - 5 -6 - ... -97 - 98 - 99 - 100
bài 7: tính nhanh
a) A = 1 + 2 + 3 + 4 + ... + 50
b) B = 2 + 4 + 6 + 8 + ... + 100
c) C = 1 + 3 + 5 + 7 + ...+ 99
d) D = 2 + 5 + 8 + 11 + ... + 98
e) E = 1 + 2 + 3 + 4 + ... + 25
f) F = 2 + 4 + 6 + 8 + ... + 50
g) G = 3 + 5 + 7 + 9 + ... + 51
h) H = 1 + 5 + 9 + 13 + ... + 81
nhanh nha, giải thik rõ nha, thì mik tick cho
Tính tổng sau : A = 1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + ... + 99 - 100
B=1–2- 3+4+5-6-7+8+...+97-98-99+100
E=1+2-3-4+5+6-7-8+9+10-...-99-100
Chứng minh rằng
a.5^1 - 5^9 + 5^8 chia hết cho 7
b.6 + 6^2 + 6^3 + 6^4 + .........+ 6^9 + 6^10 chia hết cho 7
c.1+2+3+3^2+3^3+....+3^99 chia hết cho 4