Mathematics
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OpenStudy (anonymous):
Find the 11th term of the arithmetic sequence.
a3= 20.5 and a8= 13,a11=
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OpenStudy (anonymous):
an = a1 + (n-1)d
use a3 and a8 to find a1 and d then find a11
OpenStudy (anonymous):
so which is n
OpenStudy (anonymous):
a3 here n=3
OpenStudy (anonymous):
a8 here n=8 and a11 here n=11
OpenStudy (anonymous):
so then those are the answers
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OpenStudy (anonymous):
no
OpenStudy (anonymous):
cuz when i put the 3 in i just got 3
OpenStudy (anonymous):
a3=a1+(3-1)d
20.5 = a1 + 2d ....i
a8 = a1 + (8-1)d
13 = a1 + 7d ....ii
OpenStudy (anonymous):
can u solve equation i and ii to find a1 and d?
OpenStudy (anonymous):
no they didnt explain that
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OpenStudy (anonymous):
subtract equation ii from i and we get,
20.5 -13 =a1 +2d -a1 -7d
7.5 = -5d
d= -7.5/5
d=-1.5
Now, when d= -1.5 then from equation i , 20.5 = a1 + 2*(-1.5)
a1=23.5
Now,
a11 = a1 + 10d = 23.5 + 10*(-1.5) =8.5
OpenStudy (anonymous):
got it???
OpenStudy (anonymous):
sry no
OpenStudy (anonymous):
do u know that nth term of a arithemetic sequence is an = a1 + (n-1)d
OpenStudy (anonymous):
i know that but they never said anything about i
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OpenStudy (anonymous):
well, you should know it before trying to solve these kind of problems
OpenStudy (anonymous):
thier no other way to solve but this way
OpenStudy (anonymous):
yes there are but all uses the idea an=a1+(n-1)d
OpenStudy (anonymous):
i noe how to use the formula but what confushes me is the I
OpenStudy (anonymous):
???
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OpenStudy (anonymous):
nvr so i went back to what ur talking about is 9.27?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
what the the problem