Question 880498
If you start with {{{ -3002 }}}, the next
HIGHER number divisible by {{{ 3 }}} is 
{{{ -3000 }}}
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The next LOWER number less than {{{ 6001 }}}
that is divisible by {{{ 3 }}} is {{{ 6000 }}}
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So, the column of numbers between these
( an including these ) that is divisible by {{{ 3 }}}
looks like:
-3000
-3000 + 3
-3000 + 6
-3000 + 9
All the way up to
-3000 + 9000
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Each of the entries also looks like:
-3000 + 3*0
-3000 + 3*1
-3000 + 3*2
All the way up to 
-3000 + 3*3000
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So, it looks like to get to the final entry
you have {{{ 3001 }}} multipliers ( 0 - 3000 )
of {{{ 3 }}} added to {{{ -3000 }}}
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So, there are 3001 multiples of 3 between
-3002 and 6001

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