Mathematics
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OpenStudy (katecc379):
dd
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OpenStudy (katecc379):
@ganeshie8
ganeshie8 (ganeshie8):
Reading the question, can you guess what the first term would be ?
OpenStudy (katecc379):
32.55?
ganeshie8 (ganeshie8):
No, how much area has it covered in the first day ?
OpenStudy (katecc379):
31
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ganeshie8 (ganeshie8):
That's the first term. Easy.
OpenStudy (katecc379):
ohh okay haha
OpenStudy (katecc379):
thought i needed to use the 105%
ganeshie8 (ganeshie8):
I see, what you had earlier is the second term.
ganeshie8 (ganeshie8):
So, first term = 31
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ganeshie8 (ganeshie8):
Look at the options and see if you can guess the correct answer
OpenStudy (katecc379):
b?
ganeshie8 (ganeshie8):
Yes! good guess !
OpenStudy (katecc379):
are these two correct?
ganeshie8 (ganeshie8):
#17 is wrong
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ganeshie8 (ganeshie8):
#18 is correct
OpenStudy (katecc379):
how do i do 17
ganeshie8 (ganeshie8):
You should get a negative answer for #17
OpenStudy (katecc379):
-.2?
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ganeshie8 (ganeshie8):
Yes
OpenStudy (katecc379):
ganeshie8 (ganeshie8):
Very close, but it is wrong. Try again.
ganeshie8 (ganeshie8):
|dw:1470377218150:dw|
OpenStudy (katecc379):
b?
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ganeshie8 (ganeshie8):
Yep, exponent is n-1. This is always tricky haha
OpenStudy (katecc379):
yeah confused me lol
OpenStudy (katecc379):
correct?
OpenStudy (katecc379):
and help with this
ganeshie8 (ganeshie8):
Some thing was terribly wrong with you if you weren't confused ;)
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OpenStudy (katecc379):
hahaha
ganeshie8 (ganeshie8):
1/2 is right
ganeshie8 (ganeshie8):
|dw:1470377431508:dw|
ganeshie8 (ganeshie8):
so thr sequence is
2, 4, 8, ...
ganeshie8 (ganeshie8):
My first feeling is that it may be geometric.
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ganeshie8 (ganeshie8):
So I'd like to find the common ratio
OpenStudy (katecc379):
2?
ganeshie8 (ganeshie8):
Yes, what's the first term ?
OpenStudy (katecc379):
2
OpenStudy (katecc379):
so c?
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ganeshie8 (ganeshie8):
Good, so whats the formula for nth term ?
ganeshie8 (ganeshie8):
C it is! good
OpenStudy (katecc379):
OpenStudy (katecc379):
would it be a?
ganeshie8 (ganeshie8):
yes
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ganeshie8 (ganeshie8):
this is boring, looks you have mastered these sequences and series by now ;)
OpenStudy (katecc379):
theres only two more can you just double check for me
ganeshie8 (ganeshie8):
shoot
OpenStudy (katecc379):
d?
ganeshie8 (ganeshie8):
What's the common ratio here ?
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OpenStudy (katecc379):
1/5,which is below 1
ganeshie8 (ganeshie8):
That means the series converges for sure.
Google for the sum of infinite geometric series formula
OpenStudy (katecc379):
oh okay
OpenStudy (katecc379):
105?
ganeshie8 (ganeshie8):
yes
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OpenStudy (katecc379):
i just have one left and i have no idea how to do it, but then were done I'm sorry
ganeshie8 (ganeshie8):
lets see
OpenStudy (katecc379):
ganeshie8 (ganeshie8):
So the given expression is -5i + 2
ganeshie8 (ganeshie8):
Plugin i = 1 to get the first term
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ganeshie8 (ganeshie8):
first term = -5*1 + 2 = ?
OpenStudy (katecc379):
-3?
ganeshie8 (ganeshie8):
Yes, notice that common difference is -5 here.
OpenStudy (katecc379):
okay
ganeshie8 (ganeshie8):
first term = -3
common difference = -5
Can you find the sum of the first 10 terms ?
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ganeshie8 (ganeshie8):
|dw:1470378217952:dw|
OpenStudy (katecc379):
what is n? 10?
OpenStudy (katecc379):
so -255?
ganeshie8 (ganeshie8):
Very good !
OpenStudy (katecc379):
forgot one lol how much do you hate me
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OpenStudy (katecc379):
Find the sum of a finite arithmetic sequence from n = 1 to n = 15, using the expression 2n + 5.
ganeshie8 (ganeshie8):
Haha, not much yet ;)
ganeshie8 (ganeshie8):
So we have 15 terms in the arithmetic sequence
ganeshie8 (ganeshie8):
the expression is 2n+5
plugin n = 1 to get the first term
OpenStudy (katecc379):
7
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ganeshie8 (ganeshie8):
Can you eyeball the common difference from the given expression ?
OpenStudy (katecc379):
2
ganeshie8 (ganeshie8):
Perfect! You knew the formula for sum
ganeshie8 (ganeshie8):
|dw:1470378666269:dw|