Question

D = 1.2.3 + 2.3.4+3.4.5+...+30.31.32 

Answer 1

 D = 1.2.3 + 2.3.4+3.4.5+...+30.31.32 

=> 4D = 1.2.3.4 + 2.3.4.4 + 3.4.5.4 + .... + 30.31.32.4

=> 4D = 1.2.3.4 + 2.3.4.(5 - 1) + 3.4.5.(6 - 2) + ... + 30.31.32.(33 - 29)

=> 4D = 1.2.3.4 + 2.3.4.5 - 1.2.3.4 + 3.4.5.6 - 2.3.4.5 + ... + 30.31.32.33 - 29.30.31.32

=> 4D = 30.31.32.33

=> D = \(\frac{30\cdot31\cdot32\cdot33}{4}=245520\)

Answer 2

\(245520\)