## TI-84 Calculator Programs for Algebra 2 HELP?

Does anyone have manual code program/downloadable programs for the TI-84 for the following reasons…..
– Descartes Rule
– Determining if a function is even, odd, or niether
– Stating the Domain & Range
– Finding the Inverse of a function
– General Term
– Finding a specific term
– Describing end behavior
– Vertex Form
– Geometric Sequences
– Arithmetic Sequences
– Pascals Triangle (Binomial Expansion)

I have my Final in Algebra 2 AC comming up and i would like to check my work to make sure im doing it right; that way im not studying the wrong methods. I HAVE checked ti.com and there wasnt anything.

Even ways on how to do the above topics on a calculator would be helpful!

You may want to check here: http://www.ticalc.org/pub/83plus/basic/math/algebra/

## Two odd questions (maybe easy for you)?

1. How many digits does the number 2^(2^(10)) + 1 have?

2. If n is the number of degrees in an angle which can be constructed with straight edge and compass, and is an integer show that n>=3

How do I solve 1 without a calculator???

It is easy to calculate that 2^10 = 1024 (at least for me, I’m a computer guy and many computer guy memorizes the series of number 2^n since base-2 is very important for us)

Still that isn’t so helpful. 2^1024+1 is a very large number.

So how do we find it?
Ask the question, do we need to know the number to find its number of digits?

If you answer „NO“ with confidence, you’re in the right track.

So, how do we find out the number of digits a number occupies without knowing the number itself?

Turns out there is a trick using logarithm:

log(n) / log(10) will tell you the number of digits of a number in base 10.
Let’s see: log(1024) / log(10) = 3.0102…
Rounding that UP, we get 4. (note: you *always* round up, even if it is exactly 3; an alternative way to say this is, you add 1 and round down)

Let’s try again:
log(23443245) / log(10) = 7.37…
Rounding that up, we get 8. Last time I checked 23443245 has 8 digits.

So, why does it works? Remember the definition of logarithms:
x = log(n) / log(10)
is just another way to say:
x = log base 10 of n
i.e.
10^x = n

Since 10^1 = 10, 10^2 = 100, 10^3 = 1000, etc… Then log(n) / log(10) can give us the number of digits.

Now back to the problem.

The number 2^1024+1 is difficult to calculate, and we do not want to have to calculate it.

However, notice that in base-2 (binary), the number 2^1+1 = 11[2], 2^2 = 101[2], 2^3 = 1001[2], … 2^(10) = 10000000001[2], etc…

I.e. The number of digits of 2^n in base-2 is n rounded UP.

Now, it happens that our trick of counting digits with logarithms also works with binary, with a liiiitle modification:
y = log(n) / log(2)

Previously we have shown that 2^1024+1 will have 1025 digits when written in base-2.
Therefore, we know that when n = 2^1024+1, y = 1024.xxx (1024 rounded up is 1025, since 2^1024 and 2^1024+1 is very near and later we see that it is far from the base-10 number-of-digit boundary, it is easy to see that using y =1024 won’t change the number of digits)
1024 = log(n) / log(2)
log(n) = 1024 * log(2)

We also already established that x = log(n) / log(10) will gives us the number of digit of n in base 10
x = log(n) / log(10)
log(n) = x * log(10)

Combining those two, we get
1024 * log(2) = x * log(10)
so solving that
x = 1024 * log(2) / log(10)
x = 1024 * log(2) / log(10)
x = 308.254…
Rounding up, we know that 2^1024 will have 309 digits when written in base 10.

2. I don’t understand question 2. It is always possible to bisect an arbitrary angle with a straight edge and a compass; therefore the number of degrees can always be halved even though it may be impractical at some stage. Maybe I’m misunderstanding the question.

## Am I odd for liking computer nerds?

For me, there is nothing hotter than a guy who wears glasses, likes to program his calculator, write computer software programs and play chess. I am the polar opposite:i.e. outdoorsy, outgoing, etc. Do any girls dig that here?

LOL funny. I went to computer science course open day in University, and i was amazed ! None of the guys were ugly or anything. Everyone looked normal , and quite a few were hot ! 🙂 and i was the only girl in that open day . It was well fun . I wanna do that course

i got a lots of school supplies..rulers, calculator, pens,pencils, paper, notebooks,folders..lmao!

BUT I did get the new LG Dare…which is pretty cool.

What did you all get?

I got:
weird books
pencil case
lunch bag
coloured pencils
pastels
nail kit thing (kinda kool)
camera (awesome)

## Find odd man out among: 33,44,55,66,77 .?

as seen in simple calculator