Math Problem of the Week

Submitted by david.thacker on
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12 Days of Christmas Presents!!

You may be familiar with the Christmas song, The 12 Days of Christmas. The first few lines go like this:

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.

So, how many presents are there altogether?

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