Question

[Lady Ice]

Tinh tong

F=1.2+3.4+5.6+...+97.98+99.100

G=1^2+2^2+3^2+....+99^2+100^2

Answer 1

[Mai Linh]

G = \(1^2\)+\(2^2\)+ \(3^2\)+....+\(100^2\)

G=1 +2(1+1) +3(2+1) +..... + 100(99+1)

G=1 + 1.2+ 2 + 2.3 +3+ ......+ 99.100+100

G=(1+2+3+....+100) +(1.2+2.3+.....+99.100)

G= \(\frac{100\left(100+1\right)}{2}\)+\(\frac{100\left(100-1\right)\left(100+1\right)}{3}\)

G=5050+333300

G=338350