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How Do You Calculate The Number Of Gifts Given In The 12 Days Of Christmas
How Do You Calculate The Number Of Gifts Given In The 12 Days Of Christmas -
210 gifts on the 20th day Running total of gifts Let us now look at the running total of gifts at the end of day The running total will be equal to where stands for the th triangular number We are basically adding up the first triangular numbers If you add up the first triangular numbers you end up with what is called the th tetrahedral
On day one this is simple just the one gift On day two we get 1 2 3 gifts On day three we get an additional three gifts on top of day two s three We receive 3 3 6 gifts On day four we add four to the previous day s total getting 6
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THE 12 DAYS OF CHRISTMAS EXPLORING NATURE WITH CHILDREN LaptrinhX
THE 12 DAYS OF CHRISTMAS EXPLORING NATURE WITH CHILDREN LaptrinhX
T n 1 6 n n 1 n 2 Replacing n with the number 12 in this formula we call this substitution the twelfth tetrahedral number and the answer to our puzzle is T 12 1 6 12 13 14 364 or one gift for every day of the year except for Christmas Day itself
Calculating Gift Counts for The Twelve Days of Christmas Looping Edition In the first solution to my recent reader challenge I use a loop to calculate the cumulative number of gifts given for each day of the 12 Days of Christmas Dec 22 2022
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How To Calculate Calories From Saturated Fat Let s Talk Health
How To Calculate Calories From Saturated Fat Let s Talk Health
Gift number 7 is of course a bird this time a swan which gives 7 x 2 14 legs to add to our total Gift number 8 is another personal favourite because not only do we depart from our
Sapply 1 12 daily number gifts 1 1 3 6 10 15 21 28 36 45 55 66 78 We get a vector with the number of gifts for each day To get the total number lets just wrap the above in sum sum sapply 1 12 daily number gifts 1 364 And there we go 364 gifts given over the 12 days of Christmas
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On day one this is simple just the one gift On day two we get 1 2 3 gifts On day three we get an additional three gifts on top of day two s three We receive 3 3 6 gifts On day four we add four to the previous day s total getting 6
https://nolongerset.com/gift-counts-looping-solution
If you notice the first number in each multiplication couplet increments from 1 to n and the second number in each couplet decrements from n to 1 Based on the above pattern the solution below goes through a loop n times and accumulates the total number of gifts given up to and including on day n
On day one this is simple just the one gift On day two we get 1 2 3 gifts On day three we get an additional three gifts on top of day two s three We receive 3 3 6 gifts On day four we add four to the previous day s total getting 6
If you notice the first number in each multiplication couplet increments from 1 to n and the second number in each couplet decrements from n to 1 Based on the above pattern the solution below goes through a loop n times and accumulates the total number of gifts given up to and including on day n
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