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I have a fixed list where I want to add another list with multiple passes. What would be a proper function for this?

list1 = {2, 3}; addList = {4, 3}; numSteps = 5;
l2 = list1 + addList;
l3 = % + addList;
l4 = l3 + addList;
l5 = l4 + addList;
l6 = l5 + addList;
{list1, l2, l3, l4, l5, l6}

({{2, 3}, {6, 6}, {10, 9}, {14, 12}, {18, 15}, {22, 18}})

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    $\begingroup$ Table[{2, 3} + k {4, 3}, {k, 0, 5}]? $\endgroup$ – J. M. is away♦ Oct 6 '16 at 14:52
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    $\begingroup$ Array[{2, 3} + {4, 3} (# - 1) &, 6] $\endgroup$ – BlacKow Oct 6 '16 at 15:15
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You can get this way:

list1 = {2, 3}; addList = {4, 3}; numSteps = 5;
positions = NestList[addList + # &, list1, numSteps]
points = {Red, PointSize[0.02], Point[positions]};
Graphics[{points}, Axes -> True, AspectRatio -> 20/25, 
 PlotRange -> {{25, 0}, {0, 20}}]

enter image description here

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