Mathematics
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OpenStudy (anikate):
find the common difference, d, for the arithmetic sequence in which a sub1=9 and a sub 20=-29
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OpenStudy (anikate):
@Calcmathlete
OpenStudy (anikate):
@Calcmathlete
OpenStudy (anikate):
@Calcmathlete
OpenStudy (anonymous):
Use the formula:
\[a_n = a_1 + (n - 1)d\]
OpenStudy (anikate):
how?
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OpenStudy (anikate):
can you plz show what to substitute
OpenStudy (anonymous):
\[a_n = a_1 + (n - 1)d\]\[a_{20} = a_1 + (20 - 1)d\]\[-29 = 9 + 19d\]Solve for d.
OpenStudy (anikate):
-2
OpenStudy (anonymous):
Yup. d = -2
OpenStudy (anikate):
one more
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OpenStudy (anikate):
you plz help me with one more?
OpenStudy (anonymous):
Alright
OpenStudy (anikate):
In geometric sequence \[a _{3}=2\] and \[r=1/2\] find \[a _{8}\]
OpenStudy (anonymous):
Do you know how to do this one?
OpenStudy (anikate):
nope not a bit
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OpenStudy (anonymous):
Use the formula \[a_n = a_1r^{n - 1}\]
OpenStudy (anikate):
whta do i substitue for a1
OpenStudy (anonymous):
First solve for \(a_1\).
\[a_3 = a_1(\frac12)^2\]\[2 = a_1(\frac12)^2\]Can you solve?
OpenStudy (anikate):
a1= 8?
OpenStudy (anonymous):
Yup...
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OpenStudy (anikate):
y? 1/2 ^2
OpenStudy (anonymous):
That's the formula...
\[a_n = a_1r^{n - 1}\]\[a_3 = a_1(r)^{3 - 1}\]\[2 = a_1(\frac12)^2\]
OpenStudy (anikate):
h ok
OpenStudy (anikate):
alright I cant take it from here thx calc
OpenStudy (anonymous):
Alright :)
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OpenStudy (anikate):
may I have a a medal if its alright with you :)
OpenStudy (anikate):
thx :D
OpenStudy (anonymous):
Wait, depends on what your answer is XD
OpenStudy (anikate):
I'll you tom. right now I gt study
OpenStudy (anonymous):
lol k :)