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Every 7th number is divisible by 7. There are 285 numbers which are divisible by 7

The sum of numbers 1 to 2000 is

Sn = n/2(a1+an)

S2000 = (2000/2)*(1+2000)

S2000 = 2001000

The sum of numbers that are divisible by numbers is

S285 = (285/2)*(7+1995)

S285 = 285285

subtract them together and you get 1715715

The sum of numbers 1 to 2000 is

Sn = n/2(a1+an)

S2000 = (2000/2)*(1+2000)

S2000 = 2001000

The sum of numbers that are divisible by numbers is

S285 = (285/2)*(7+1995)

S285 = 285285

subtract them together and you get 1715715