All posts by gavinp2016

Week 1 – Math 11 – Arithmetic sequences

to find a value in your sequence (t_{n}) you must use this formula…

t_{n}t_{1} + (n – 1)(d)

to give an example here is my pattern – 3, 7, 11,  15, 19…
to find t_{50} follow these steps….

the first thing you will need in your formula is t_{1}
in this sequence 3 is t_{1} because it is the first number of the sequence, so your formula so far would look like this…
t_{50} = 3 + (n – 1)(d)

next, you will want to subtract 1 from 50, because the next part of our formula is (n – 1). the (n) represents the number in your sequence just as the second number of your sequence is represented by  t_{2}. so your formula should look like this after you subtracted 1 from 50…
t_{50} = 3 + (49)(d)

the final thing in your sequence is (d). the (d) represents the common difference, the common difference is the rate increasing between numbers. in our sequence, our common difference is 4 because we increase 4 everytime. ex/ 3 +4 = 7 +4 = 11 +4 = 15.
once you know your common difference your formula should look like this…
t_{50} = 3 + (49)(4)

once you calculate your formula it should look something like this…

t_{50} = 3 + (49)(4) = 199

Part 2
to find the arithmetic series you need to use this formula…

S_{n}\frac{n}{2}(t_{1}t_{n})

first, we will start by adding what we know this far…
S_{50}\frac{50}{2}(3 + t_{n})

The last thing you need is t_{n}. since we are in S_{50} we need to use the awnser of t_{50}. Once you add this to your formula it should look like this…
S_{50}\frac{50}{2}(3 + 199)

When you add this all up  you should get this…

S_{50}\frac{50}{2}(3 + 199) = 5,050

Week1 – Precal 11 Arithmetic sequence

Arithmetic sequences add the same amount to each time. ex/ 7, 10, 13, 16…

Common difference stands for the amount increasing and is represented by (d). ex/ 7,10,13 d=3

Tn stands for the unknown number you’re trying to find, Tn could be the last number in the sequence or the 50th number.

T is used to represent the numbers in the sequence. ex/
7, 10, 13, 16…
T1,T2,T3,T4

 

My Environmental Interactions Post

ill usually start my morning with a hot shower to wake me up. ill also play on my computer after I have made my lunch till I have to go to school.  usually I leave the lights of because I forget, but back to topic ill walk to school usually with Liam and arrive there 25 minutes later. at lunch ill bring my lunch bag with my sandwich and a fruit. my sand witch is covered in saran rap witch ill throw in to the garbage. after school ill walk home to the lights I left on, and play on my computer I left on through out the day. through out the night ill either do hockey, witch is off technology, or ill use my computer for home work or games. basically ill be active or on my computer.


How These Effect The Environment – in a bad way


A) when I take a hot shower in the morning I could use cold water which would save water, but not really any one likes to take or even takes cold showers. especially at 7 in the morning

B) I use my computer through out the day, at school, at home, just about every were for more than 40% of the day (when I’m awake). I could cut back on so much teck, but its really hard too. all the information I need to complete just about any assignment also on the computer Is at my finger tips when using this device. I can also entertain my self for hour on end.

C) me leaving the lights on is defiantly a problem. But when I forget to take my fish oil I tend to forget lots and lights are one of the things ill forget on a daily basis. its kind of a huge spree of forgetting.

D) when I go to school and I bring my lunch, ill always have some kind of plastic. once I’ve successfully opened what ever may be inside of the plastic ill throw it out, and it will then be later added to a landfill. it will take decades for it to decompose.


How These Effect The Environment – in a good way


A) when ever I head to school I walk about 95% of the time. walking cuts back on the burning of fossil fuels reducing the amount of green house gasses, which could cause acid rain and melting of the ice caps.

B) another thing I do is breathing, every one breaths so every one dose this. when I exhale and inhale I’m doing something. I’m taking in oxygen and breathing out carbine dioxide. this goes on threw out every 24 hour day till I die. now this could be considered a bad thin due to the large amount of co2 in the atmosphere but I defend it by saying, “what so I just stop breathing ?

C) when I play hockey or volunteer I’m skating. this is physical active instead of being a couch potato.


How These Effect…


Cons:

A) Wasting energy and water.

B) Uses lots of energy

C) uses wasted energy that I don’t need to be using

D) Increases the size of land fills and pollutes.

Pros:

A) when I walk I’m decrasing my carbin footprint helping cut donw on the fosil fuels I would have used if I got a ride.

B) This is something that you cant avoid but it increase the amount of co2 in the atmosphere.

C) I’m more active and it cuts down on the amount of energy I would be using if I stopped doing sports.