Question

if 20^2 - 19^2 +18^2 - 17^2... -3^2 +2^2 - 1^2 then try to solve for x​

Answer 1

Step-by-step explanation:

x=20²-19²+18²-17²+.........+4²-3²+2²-1²

x

=(30-19)(20+19)+(18-17)(18+17)+.....+(2-1)(2+1)

=1(20+19)+1(18+17)+.........+1(4+3)+1(2+1)

=20+19+18+17+.........+4+3+2+1

=Sum of first 20 natural numbers

=20(20+1)/2

=20(21)/2

=10(21)

=210