d).
a multiple of 5 as the sum
a multiple of 7 as the sum
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The multiples of 5 are 5,10,15,20,25,30,35,40,45,.... ... To find n use 1000/3 = 333 + remainder, 1000/5 = 200 + remainder, 1000/15 = 66 + remainder and then sum multiples of 3: 3⋅333(333+1)/2=166833. multiples of 5: 5⋅200(200+1)/2=100500 and subtract multiples of 15 15⋅66(66+1)/2=33165 to get 234168.
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