2^2.(1^2+2^2+...+10^2)

4 . 385

1540

A = \(2^2.\left(1^2+2^2+3^2+...+10^2\right)=4.385=1540\)

B=\(3^2.\left(1^2+2^2+3^2+...+10^2\right)=385.9=3465\)

a: A=3^2(1^2+2^2+...+10^2)

=9*385

=3465

b: B=2^3(1^3+2^3+...+10^3)

=8*3025

=24200

Mình cảm ơn bạn nhiều

A = 2² + 4² + 6² + 8² + ... + 20²

A = 2².(1² + 2² + 3² + 4² + ... + 10²)

A = 4.385

A = 1540

A = 2² + 4² + 6² + 8² + ... + 20²

A = 2² . (1² + 2² + 3² + 4² + ... + 10²)

A = 4 . 385

A = 1540

\(S=2^2+4^2+....+20^2=?\)

\(=\left(2.1\right)^2+\left(2.2\right)^2+\left(2.3\right)^2+....+\left(2.10\right)^2\)

\(=2^2.1^2+2^2.2^2+2^2.2^3+...+2^2.10^2\)

\(=2^2.\left(1^2+2^2+3^2+...+10^2\right)\)

\(=2^2.385\)

\(=4.385\)

\(=1540\)

S=2²+4²+...+20²

=> 1/2 .S=1²+2²+...+10²

=> 1/2 .S=385

=> S = 385 . 2

=> S = 770

\(2^2+4^2+6^2+...+20^2\)

\(=\left(1.2\right)^2+\left(2.2\right)^2+\left(3.2\right)^2+...+\left(10.2\right)^2\)

\(=4\left(1^2+2^2+3^2+...+10^2\right)\)

\(=4.385=1540\)

2^2+4^2 + 6^2 +....+20^2 = 2^2(1+2^2+3^2+...+10^2) = 4 x 385 = 1540

2²+4²+6²+8²+10²+12²+14²+16²+18²+20²

=4+16+36+64+100+144+196+256+324+400

=1540

S=1540

dung ko ta

Ta có : \(1^2+2^2+3^2+......+10^2=385\)

\(2^2\left(1^2+2^2+3^2+......+10^2\right)=2^2.385\)

\(2^2+4^2+6^2+.....+20^2=4.385\)

\(2^2+4^2+6^2+.....+20^2=1540\)

Đặt \(A=1^2+2^2+3^2+...+10^2\)

Đặt \(B=2^2+4^2+6^2+...+20^2\)

\(2^2.A=2^2+4^2+6^2+...+20^2=B=2^2.385=1540\)

= 1540