How many total gifts in the 12 days of christmas

Asked by admin @ 05/11/2021 in Mathematics viewed by 241 People

Sums of a sequence: How many total gifts did my true love give to me during the entire 12 days of Christmas? Hint: Without any of that other stuff, there were 12 partridges in pear trees alone.

Answered by admin @ 05/11/2021

On the first day of Christmas,

my true love sent to me

A partridge in a pear tree.
On the second day of Christmas,

my true love sent to me

Two turtle doves,

And a partridge in a pear tree.
On the third day of Christmas,

my true love sent to me

Three French hens,

Two turtle doves,

And a partridge in a pear tree.

The song continues, adding 4 calling birds on the 4th day, 5 golden
rings on the 5th, and so on up to the 12th day, when 12 drummers add to
the cacophony of assorted birds, pipers and lords leaping all over the
place.

Notice that on each day there is one partridge (so I will have 12
partridges by the 12th day), and each day from the second day onwards
there are 2 doves (so I will have 22 doves), and from the 3rd there are 3
hens (total of 30 hens), and so on.

So, how many presents are there altogether?

Partridges: 1 × 12 = 12

Doves: 2 × 11 = 22

Hens 3 × 10 = 30

Calling birds: 4 × 9 = 36

Golden rings: 5 × 8 = 40

Geese: 6 × 7 = 42

Swans: 7 × 6 = 42

Maids: 8 × 5 = 40

Ladies: 9 × 4 = 36

Lords: 10 × 3 = 30

Pipers: 11 × 2 = 22

Drummers: 12 × 1 = 12

Total = 364

We observe that we have the same number of partridges as drummers (12
of each); doves and pipers (22 of each); hens and lords (30 of each)
and so on. So the easiest way to count our presents is to add up to the
middle of the list and then double the result: (12 + 22 + 30 + 36 + 40 +
42) × 2 = 364.

In the song twelve days of christmas how many gifts

Asked by admin @ 05/11/2021 in Mathematics viewed by 263 persons

At the end of the song 12 days of Christmas how many presents were given?

How many more days is christmas

Asked by maham237 @ 18/02/2021 in Mathematics viewed by 247 persons

Targets sells sets of pots ($30) and dishes ($20) at the local store. on the 4th of july weekend, target's total sales were $2,600. people bought 6 times as many pots as dishes. how many of each did target sell?

Asked by maham237 @ 10/01/2021 in Mathematics viewed by 609 persons

For each day, select the number of hours worked. timekeep time cards employee time record #0000 tim doe art dept. day in out mon. 8:00 3:10 tue. 8:05 3:25 wed. 8:00 2:30 thur. 7:55 2:45 fri. 7:58 3:38

Asked by maham237 @ 11/01/2021 in Mathematics viewed by 356 persons

How many total gifts in the 12 days of christmas

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