What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of -8?
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OpenStudy (anonymous):
a sub(n)= 2(-8)^n-1; all integers where n is greater than or equal to 1
a sub(n)= 2(-8)^n-1; all integers where n is greater than or equal to 0
a sub(n)= 2(-4)^n-1; all integers where n is greater than or equal to 0
a sub(n)= 2(-4)^n-1; all integers where n is greater than or equal to 1
OpenStudy (cwrw238):
general form is ar^(n-1) where a = first term and r = common ratio, n = term number
common ratio may be found by dividing second term by the first term
OpenStudy (anonymous):
-4=r
a=2
n=n
OpenStudy (cwrw238):
right
OpenStudy (cwrw238):
now you need to look at values of n to find the domain
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OpenStudy (anonymous):
so the equation s 2(-4)^n-1; all integers where n is greater than or equal to ??
OpenStudy (cwrw238):
right so far
- the first term is 2
what value must n be for first term to be 2?
OpenStudy (anonymous):
0?
OpenStudy (anonymous):
Oops! 1
OpenStudy (cwrw238):
right
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OpenStudy (anonymous):
the second time?
OpenStudy (cwrw238):
so the last option is correct one
OpenStudy (anonymous):
Thank you so much!!
OpenStudy (cwrw238):
yw
OpenStudy (cwrw238):
2* (-4)^(1-1) = 2* (-4)^0 = 2*1 = 2
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