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046 - SingAlong: "Sequenced"

posted Dec 25, 2018, 6:00 AM by Gregory Taylor   [ updated Dec 25, 2018, 12:15 PM ]
SING-ALONG 08

Math-Tans  present....

"Sequenced"
     (*aka "Sleigh Ride")

--------
     Instrumental by Leroy Anderson (1948): YouTube Here
     Lyrics by Mitchell Parish (1949), as sung by Johnny Mathis: YouTube Here
     Mini-Lyric version sung by Pentatonix: YouTube Here
     Mp3 Big Band Instrumental Version: Found Here


VERSES FOLLOW RONDO FORM:  A B A' C A" B A:

Right here there's discrete values called terms all ordered for you.
Come on, it's time for wonders with a sequence of numbers or two.
Does every hailstone sequence end "four two one"? We've no clue.
Come on, it's time for wonders with a sequence of numbers or two.

Two four six, two four eight, two four sixteen finds,
Plus, times, and squared kinds.
We're counting in these ways to train our minds.
Three six nine, three six twelve, three nine eighty-one,
New start means new fun.
We're counting so quick, there's no trick, you can pick when to be done.

Formulas used may vary, so please be wary and know,
Recursion can with some care, give the start along with where to go.
Convergence also exists, since limits persist, it's true.
Come on, it's time for wonders with a sequence of numbers or two.


With a one, one, two, three,
five, eight, thirteen, twenty-one,
You know that the Fibonacci sequence has begun.

But the Lucas sequence
Has the same rule, start with "2, 1" to try.
Golden ratio still applies,
In math that's phi. Phi, phi, phi.


Figurate sequences
Represent geometry.
One has triangles that need no trigonometry.

Then these figurate terms, may appear too
In Pascal's triangle.
Yang Hui drew that first, in China,
There's a lot there to untangle...
Yang Hui drew that first, in China,
There's a lot there to untangle!


Right here there's discrete values called terms all ordered for you.
Come on, it's time for wonders with a sequence of numbers or two.
Does every hailstone sequence end "four two one"? We've no clue.
Come on, it's time for wonders with a sequence of numbers or two.

Two four six, two four eight, two four sixteen finds,
Plus, times, and squared kinds.
We're counting in these ways to train our minds.
Three six nine, three six twelve, three nine eighty-one,
New start means new fun.
We're counting so quick, there's no trick, you can pick when to be done.


(Lyrical conclusion:)
Formulas used may vary, so please be wary and know,
Recursion can with some care, give the start along with where to go.
Convergence also exists, since limits persist, it's true.
Come on, it's time for wonders with a sequence of numbers or two.
Oh yes, it's time for wonders, with a sequence of numbers, or two.

(Instrumental conclusion:)
Formulas used may vary, so please be wary and know,
Recursion can with some care, give the start along with where to go.
Convergence also exists, since limits persist, it's true.
Come on, it's time for wonders, it's time for wonders, it's time for wonders,
it's time for wonders, yes time for wonders, oh time for wonders...
With MAAAAATH. Sequenced.




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