dannielle
At the end of the first day, 7 weeds appear in your neighborhood park. Each day, the number of weeds increases by four times. How many weeds will be in the park at the end of 14 days?
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mia0bbb
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7 weeds x 4 x 14 days
lilg132
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7 + (14 - 1) * 4
lilg132
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59 weeds in the park at the end of 14 days
dannielle
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it cant be, the answer choices are
71
626,349,395
392
35,456,231
mia0bbb
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392 is the answer
mia0bbb
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because 7 x 4 x 14 = 392
lilg132
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oh wait we need to work out the sum
dannielle
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yeah, but im feeling there is a formula to it or something, my teacher wouldnt make it that easy
mia0bbb
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14( 7 x 4 )
lilg132
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answer is 626349395
lilg132
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i'm not sure of the formula but what i do know is we have 7 weeds on the first day
and it multiplies by 4 each day
and you do it 14 times and add all the figures up giving you
626349395
dannielle
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alright, that does make sense, thank you !
lilg132
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your welcome i will try and look for the formula for you
dannielle
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thank you (:
mathmate
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Use the compound interest formula:
7(4^14-1)/(4-1)=626349395
which is equivalent to
7(1+4+4^2+...4^13)
lilg132
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thats what i was looking for :)