whats the 21st term in the arithemtic sequence in which...
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OpenStudy (anonymous):
\[a _{3} is 59 and a _{1} is 103 \]
OpenStudy (anonymous):
enter the term
OpenStudy (anonymous):
What is 59-103?
OpenStudy (anonymous):
term 1 = 103
term 2 = ?
term 3 = 59
In order to find term two find the difference between term 1 and term 3 and divide that by 2.
That will give you your change in value.
then you will have everything you need to make another equation in the form of :
An = term 1 +(change in value)*(n-1)
OpenStudy (anonymous):
once you are there plug in 21 for n and you will have your corresponding 21st term
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OpenStudy (anonymous):
so -44 /2 = -22
OpenStudy (anonymous):
-463?
OpenStudy (anonymous):
correct! so that's you change in value.
now you can make your formula
OpenStudy (anonymous):
but its asking for the term
OpenStudy (anonymous):
I got -337
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OpenStudy (anonymous):
A_21 = 103-22*(21-1) = 103 - 440 = -337
OpenStudy (anonymous):
so the term is -337
OpenStudy (anonymous):
?
OpenStudy (anonymous):
You tell me
OpenStudy (anonymous):
yes?
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
so -337?(:
OpenStudy (anonymous):
ahha you really need your verification don't you .. yes yes it is