Please Someone HELP! im exhausted its 12 my time!! Please help! Have some sympathy!
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OpenStudy (anonymous):
14. What is S5 for 1000 + 500 + 250 + ... ?
hartnn (hartnn):
did you realize that this is geometric sequence with common ratio =... ?
OpenStudy (anonymous):
no i didn't
OpenStudy (anonymous):
so r=.5
hartnn (hartnn):
yes, now do you know the general formula of n'th term of geometric series ?
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OpenStudy (anonymous):
1000+500+250+125+62.5
OpenStudy (anonymous):
no i dont
hartnn (hartnn):
the formula for sum is
\(S_n = a_1\dfrac{r^{n}-1}{r-1}\)
since you need 5 terms sum, n = 5
you already know r = 0.5 and a1 = 1st term = 1000
just plug in values!
OpenStudy (anonymous):
i got -3000 thats not an option though
hartnn (hartnn):
lets check,
1000 (-0.5^5+1)/0.5 = 2000 * 0.96875 = 1937.5 ? is that an option?
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OpenStudy (anonymous):
yeah it is!! can u help with 2 more please!
OpenStudy (anonymous):
hartnn (hartnn):
yeah, but u need to try them first on your own....you can surely ask for formulas...
OpenStudy (anonymous):
the attachment is the question
hartnn (hartnn):
the series is
2,1,1/2,1/4....
total 16 terms, n=16
a1 = 1st term = 2, r=... ?
then use the same formula.
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OpenStudy (anonymous):
there is none right?
OpenStudy (anonymous):
there is no common ratio
hartnn (hartnn):
isn't it 1/2 or 0.5 ?
OpenStudy (anonymous):
oh oh oops!
OpenStudy (anonymous):
I got -0.00012207
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OpenStudy (anonymous):
and it rounds to 0
OpenStudy (anonymous):
is that correct
OpenStudy (anonymous):
@hartnn
hartnn (hartnn):
wait, let me calculate.
hartnn (hartnn):
i am getting approximately 4...
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hartnn (hartnn):
how u got 0 ?
OpenStudy (anonymous):
i dont know! Im so tired I can barley think..... I need to turn this in tommorrow morning!
hartnn (hartnn):
try, sum as 4.
OpenStudy (anonymous):
ok...
11. What is the sum of the finite arithmetic series?
(–5) + 0 + 5 + 10 + ... + 65
OpenStudy (anonymous):
here are the choices
900
455
450
445
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hartnn (hartnn):
whats the common difference ?
OpenStudy (anonymous):
D=5
hartnn (hartnn):
yes, formula is S = (n/2) [1st term + last term]
S =... ?
OpenStudy (anonymous):
1,950
OpenStudy (anonymous):
s=65/2{-5+65}
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hartnn (hartnn):
n= 15
15/2 * (60) = 15*30 =.... ?
OpenStudy (anonymous):
450
OpenStudy (anonymous):
OpenStudy (anonymous):
im not typing... have no idea why its doing that
OpenStudy (anonymous):
last one I promise
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OpenStudy (anonymous):
please @hartnn promise its the last
hartnn (hartnn):
just a sec, i am solving....
hartnn (hartnn):
the series is
-1,2,5,8....
so common difference d=.... ?
OpenStudy (anonymous):
d=3
hartnn (hartnn):
yes, a1 = 1st term = -1, n =18
formula is :
\(\S_n = (n/2)[2a+(n-1)d]\)
just plug in values!
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OpenStudy (anonymous):
441!
hartnn (hartnn):
yes :)
OpenStudy (anonymous):
thanks sooo much now I may sleep! :) thank you thank you thank you!