R.2=2+2^2+2^3+...+2^2015
R=(2+2^2+2^3+...+2^2015-1)-(1+2^2+2^3+...+2^2014)
R=(2^2015)-1
S=(2^2015)-1 / 1-(2^2015)
S=-1
bieu thuc do goi la R nhe
R.2=2+2^2+2^3+...+2^2015
R=(2+2^2+2^3+...+2^2015-1)-(1+2^2+2^3+...+2^2014)
R=(2^2015)-1
S=(2^2015)-1 / 1-(2^2015)
S=-1
bieu thuc do goi la R nhe
Tính tổng:
A= 1+2014^1+2014^2+2014^3+...+2014^2014+2014^2015
B = 3-3^2+3^3+3^4+...+3^100
Bài 1 : Tính tổng
a) 1 *2 *3 + 2 * 3 *4 + 3 * 4 * 5 + ... + 2013 * 2014 * 2015 + 2014 * 2015 * 2016
b) 1 * + 3 * 4 + 5 * 6 + ... + 99 * 100
Bài 2 : CMR : 1^3 + 2^3 + 3^3 + ... + n^3 = ( 1 + 2 + 3 + ... + n )^2
Tính các tổng sau:
a) A=1+(-2) + 3 +(-4) + ...+(- 2014) + 2015;
b) B= (-2) + 4 +(-6) + 8 ... +(-2014) + 2016;
c) 1+(-3) + 5 +(-7) + ... + 2013 +(-2015);
d) (-2015) + (-2014) + (-2013)+ ... + 2015 + 2016
Tính tổng: S= (- 1) + (- 1) ^ 2 + (- 1) ^ 3 +...+(-1)^ 2014 +(-1)^ 2015
tính các tổng sau
a, S1=1+(-2)+3+(-4)+..........+(-2014)+2015
b,S2=(-2)+4+(-6)+8+...............+(-2014)+2016
c,S3=1+(-3)+5+(-7)+................+2013+(-2015)
d,S4=(-2015)+(-2014)+(-2013)+......+2015+2016
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Tính tổng Q=2017^2-2016^2+2015^2-2014^2+.....+2^2-1^2
1*2*3*...*2015-1*2*3*4*...*2014-1*2*3*...*2013*2014^2 tính nhanh
6. Tính
S= 3+\(\frac{3}{2}\)+ \(\frac{3}{2^2}\)+ ........ + \(\frac{3}{2^9}\)
7. Cho
A= \(\frac{1}{1^2}\)+ \(\frac{1}{2^2}\)+ \(\frac{1}{3^2}\)+... + \(\frac{1}{50^2}\)
Chứng minh A<2
8 SS
A = \(\frac{2015^{2014}+1}{2015^{2014}-1}\)
B=\(\frac{2015^{2014}-1}{2015^{2014}-3}\)
9 So sánh
A=\(\frac{196}{197}+\frac{197}{198}\)
B= \(\frac{196+197}{197+198}\)
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6. Tính
S= 3+\(\frac{3}{2}\)+ \(\frac{3}{2^2}\)+ ........ + \(\frac{3}{2^9}\)
7. Cho
A= \(\frac{1}{1^2}\)+ \(\frac{1}{2^2}\)+ \(\frac{1}{3^2}\)+... + \(\frac{1}{50^2}\)
Chứng minh A<2
8 SS
A = \(\frac{2015^{2014}+1}{2015^{2014}-1}\)
B=\(\frac{2015^{2014}-1}{2015^{2014}-3}\)
9 So sánh
A=\(\frac{196}{197}+\frac{197}{198}\)
B= \(\frac{196+197}{197+198}\)
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