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Math 543 HELP!!

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Randy had a sheep that started eating more and more as each day passed. On July 1,
Randy’s sheep ate 5 carrots. On July 2, Randy’s sheep ate 11 carrots. On July 3, the sheep ate 18 carrots. How many carrots will the hungry sheep eat on July 30th?

  • Math 543 HELP!! -

    July 2: 5
    July 3: 11
    July 4: 18
    July 5: 26
    July 6: 35
    July 7: 45
    July n: 5 + 6 +.. + (n+3)
    = 4(n-1) + 1 + 2 +...+ (n-1)
    = 4(n-1) + (n-1)n/2
    July 30 = 4*29 + 30*29/2 = 551

  • Math 543 HELP!! -

    Looks like you're one day off. On July 1 the sheep ate 5 carrots.

    on July nth, the sheep eats n(n+9)/2 carrots.

    On July 30, that's 30(39)/2 = 15*39 = 585 carrots

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