math 11 sequences and frequences blog post
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Observations and Inferences
ballad
The morning sun touched lightly on the eyes of lucy jordan
In a white suburban bedroom in a white suburban town
As she lay there neath the covers dreaming of a thousand lovers
Till the world turned to orange and the room went spinning round.
At the age of thirty-seven she realised shed never
Ride through paris in a sports car with the warm wind in her hair.
So she let the phone keep ringing and she sat there softly singing
Little nursery rhymes shed memorised in her daddys easy chair.
Her husband, hes off to work and the kids are off to school,
And there are, oh, so many ways for her to spend the day.
She could clean the house for hours or rearrange the flowers
Or run naked through the shady street screaming all the way.
At the age of thirty-seven she realised shed never
Ride through paris in a sports car with the warm wind in her hair
So she let the phone keep ringing as she sat there softly singing
Pretty nursery rhymes shed memorised in her daddys easy chair.
The evening sun touched gently on the eyes of lucy jordan
On the roof top where she climbed when all the laughter grew too loud
And she bowed and curtsied to the man who reached and offered her his hand,
And he led her down to the long white car that waited past the crowd.
At the age of thirty-seven she knew shed found forever
As she rode along through paris with the warm wind in her hair
ballad
The morning sun touched lightly on the eyes of lucy jordan
In a white suburban bedroom in a white suburban town
As she lay there neath the covers dreaming of a thousand lovers
Till the world turned to orange and the room went spinning round.
At the age of thirty-seven she realised shed never
Ride through paris in a sports car with the warm wind in her hair.
So she let the phone keep ringing and she sat there softly singing
Little nursery rhymes shed memorised in her daddys easy chair.
Her husband, hes off to work and the kids are off to school,
And there are, oh, so many ways for her to spend the day.
She could clean the house for hours or rearrange the flowers
Or run naked through the shady street screaming all the way.
At the age of thirty-seven she realised shed never
Ride through paris in a sports car with the warm wind in her hair
So she let the phone keep ringing as she sat there softly singing
Pretty nursery rhymes shed memorised in her daddys easy chair.
The evening sun touched gently on the eyes of lucy jordan
On the roof top where she climbed when all the laughter grew too loud
And she bowed and curtsied to the man who reached and offered her his hand,
And he led her down to the long white car that waited past the crowd.
At the age of thirty-seven she knew shed found forever
As she rode along through paris with the warm wind in her hair …
blog post
ch2:This sequence shows up a lot in math and computer science, so take note. Especially if you like computer science—you know, taking various chemicals in eye droppers and dripping them onto your PC and whatnot.
2
2 × 2 = 4
2 × 2 × 2 = 8
2 × 2 × 2 × 2 = 16
2 × 2 × 2 × 2 × 2 = 32
Writing out all these 2s gets boring quickly. Who wants to write out twenty 2s, all multiplied together? (If this is you, please put your hand down. No one can see you right now anyway.)
Thankfully, there’s a shortcut. We write 2n, pronounced “2 to the n,” “2 raised to the n,” or “2 to the nth power,” which all mean n copies of 2 multiplied together. And to help you remember that we’re “raising it,” we even literally raise it up a little bit next to the number we’re multiplying. Aren’t mathematicians thoughtful? They even sent you flowers on your birthday. Remember that?
If we’ve got 2n, that little n is called an exponent or power, 2 is called the base, and the process of raising a number to a power is called exponentiation. The numbers 2, 22, 23, and so on are called powers of 2. If you see something like 2love, that’s the power of love.
Be Careful: When raising a negative number to a power, keep careful track of your negative signs. Clip and tag them if you have to. If it’s the negative number that’s being raised to the power, we get one thing:
(-2)4 = (-2)(-2)(-2)(-2) = 16
If not, we group it differently and get something else:
-24 = -(24) = -16
blog post
ch1：Factor: an integer is divided by another integer, which is the former factors such as 1, 2, 4 are factor multiple of 8: a number can be divided by another number, this number is another number times as 15 can Is divisible by 3 or 5, so 15 is a multiple of 3 and a multiple of 5. Prime number: a number in addition to 1 and its own no other factor, called the prime number. Such as 2, 3, 5, 7, and the number: a number in addition to 1 and its own and other factors, (at least three factors) called the composite. Such as 4,6,8,9 neither composite nor a prime factor: a number of their common factor, called the common factor, such as, 12 and 6 of the common factors are: 1,2,3,6 common multiple: a number The number of their common factor, called the common multiple. For example, the common multiples of 3 and 6 are: 3, 6, 12, 18, . . . . . The factor of a number is finite, and the multiple is infinite. The largest common factor: the number of the largest number of their common one. The greatest common divisors, such as 6 and 12, are 6 the most common multiple: the number of which is the smallest of their common divisors. The basic properties of the fraction: When the numerator and the denominator simultaneously expand or shrink the same multiple, the fractional value does not change. The basic nature of the decimal: the end of the decimal add 0 or remove the 0, the decimal size is not1
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