HELP MEDALS N FAN!!
1.)find the explicit rule for the nth term of the sequence 4, -4, 4, -4, ...
an= 4 1^(n-1)
an= 4 1^(n+1)
an= 4 (-1)^n
an= 4 (-1)^(n-1)
2.) find the explicit rule for the nth term of a geometric sequence where the second and fifth terms are 40 and 5000, respectively
an= 8 5^(n-2)
an= 8 5^(n+3)
an= 8 5^(n-1)
an= 8 5^(n+1)
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OpenStudy (anonymous):
@amoodarya @Astrophysics
OpenStudy (amoodarya):
4 *( ?) =-4
-4 *(?)= +4
OpenStudy (amoodarya):
\[4,-4,4,-4,...\\a_n=4*(-1)^{n-1}\]
OpenStudy (welshfella):
yep thats a geometric series
OpenStudy (anonymous):
#2??
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OpenStudy (anonymous):
@surjithayer
OpenStudy (welshfella):
first thin find the value of the common ratio r
fifth term = ar^4 and second term = ar
ar^4 / ar = r^3
so r^3 = 5000/40
find r
OpenStudy (welshfella):
can you do that
r^3 = 125
r = ?
OpenStudy (anonymous):
its like 10.7
OpenStudy (anonymous):
an= 8 5^(n-1)
is this one right
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OpenStudy (welshfella):
no
5*5*5 = 125
OpenStudy (welshfella):
r = 5
OpenStudy (anonymous):
oh duh
OpenStudy (anonymous):
is it 5^(n-1)
OpenStudy (welshfella):
now you need to find the first term which is 40/5
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