Question

Tính tổng:

D=1.2.3+3.4.5+...+99.100.101

Giúp mk vs! mai nộp cô rùi

Answer 1

Ta có :

\(\text{A = 1.2.3 + 3.4.5+...99.100.101}\)

\(\text{A=1.3(5-3)+3.5(7-3)+}...+99.101\left(103-3\right)\)

\(=\left(1.3.5+3.5.7+5.7.9+...99.101.103\right)-\left(1.3.3+3.5.3+99.101.3\right)\)

\(=\left(15+99.101.103.105\right):8-3.\left(1.3+3.5+5.7+...+99.101\right)\)

\(=13517400-3.171650\)

\(=13002450\)

Answer 2

D=1.2.3+3.4.5+...+99.100.101

D=1.2.3.4+5.6.7.4+........+99.100.101.4

D=1.2.3.4+5.6.7.(8-4)+........+99.100.101.(102-98)

D=(1.2.3.4+5.6.7.8+.........+99.100.101.102)-(1.2.3.4+5.6.7.8+....+98.99.100.101)

D=98.99.100.101