Question

1x2x3x4+2x3x4x5+3x4x5x6+...97x98x99x100

Answer 1

A=1x2x3x4+2x3x4x5+3x4x5x6+...+97x98x99x100

5xA=1x2x3x4+2x3x4x5x(6-1)+3x4x5x6x(7-2)+...+97x98x99x100x(101-96)

5xA=1x2x3x4x5+2x3x4x5x6-1x2x3x4x5+3x4x5x6x7-2x3x4x5x6+...+97x98x99x100x101-96x97x98x99x100

5xA=97x98x99x100x101

A=97x98x99x101x20=1901009880

Answer 2

=1901009880

Answer 3

A=1x2x3x4+2x3x4x5+3x4x5x6+...+97x98x99x100

5xA=1x2x3x4+2x3x4x5x(6-1)+3x4x5x6x(7-2)+...+97x98x99x100x(101-96)

5xA=1x2x3x4x5+2x3x4x5x6-1x2x3x4x5+3x4x5x6x7-2x3x4x5x6+...+97x98x99x100x101-96x97x98x99x100

5xA=97x98x99x100x101

A=97x98x99x101x20=1901009880

Answer 4

A=1x2x3x4+2x3x4x5+3x4x5x6+...+97x98x99x100

5xA=1x2x3x4+2x3x4x5x(6-1)+3x4x5x6x(7-2)+...+97x98x99x100x(101-96)

5xA=1x2x3x4x5+2x3x4x5x6-1x2x3x4x5+3x4x5x6x7-2x3x4x5x6+...+97x98x99x100x101-96x97x98x99x100

5xA=97x98x99x100x101

A=97x98x99x101x20=1901009880

Answer 5

A=1x2x3x4+2x3x4x5+3x4x5x6+...+97x98x99x100

5xA=1x2x3x4+2x3x4x5x(6-1)+3x4x5x6x(7-2)+...+97x98x99x100x(101-96)

5xA=1x2x3x4x5+2x3x4x5x6-1x2x3x4x5+3x4x5x6x7-2x3x4x5x6+...+97x98x99x100x101-96x97x98x99x100

5xA=97x98x99x100x101

A=97x98x99x101x20=1901009880

Answer 6

A=1x2x3x4+2x3x4x5+3x4x5x6+...+97x98x99x100

5xA=1x2x3x4+2x3x4x5x(6-1)+3x4x5x6x(7-2)+...+97x98x99x100x(101-96)

5xA=1x2x3x4x5+2x3x4x5x6-1x2x3x4x5+3x4x5x6x7-2x3x4x5x6+...+97x98x99x100x101-96x97x98x99x100

5xA=97x98x99x100x101

A=97x98x99x101x20=1901009880