how do I solve, What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = –16

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OpenStudy (anonymous):

a*r^0+a*r^1+a*r^2
1 2 3
notice a patter?

OpenStudy (anonymous):

your a is 1024

OpenStudy (anonymous):

huh?

OpenStudy (anonymous):

a4 will be a*r^3 =-16
1024*r^3=-16 SFr
and plug r back into 6th term which will be
a*r^5
1024*(r you found above)^5 :)

OpenStudy (anonymous):

whats r? haha(:

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OpenStudy (anonymous):

r=-1/4
so
1024*(-1/4)^5

OpenStudy (anonymous):

-1?

OpenStudy (anonymous):

it is actually -1/4

OpenStudy (anonymous):

your r

OpenStudy (anonymous):

-1 is your answer yes :D
lol sorry

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OpenStudy (anonymous):

See you can do it ;)

OpenStudy (anonymous):

haha thanks so I know its the same type of problems but they confuse me so, can you help me with What is the 8th term of the geometric sequence where a1 = 625 and a3 = 25? pleaseee(:

OpenStudy (anonymous):

sure :)

OpenStudy (anonymous):

thank youu!!(:

OpenStudy (anonymous):

a*r^0+a*r^1+a*r^2
1 2 3
625 is your a
625*r^2=25 sfr
then
625*(r you solved for)^7
;)

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OpenStudy (anonymous):

r is 1/5 :) can you take it from here?

OpenStudy (anonymous):

.008?

OpenStudy (anonymous):

YES

OpenStudy (anonymous):

thank you!!(: your soo helpful(:

OpenStudy (anonymous):

So long as you know how to do it :D and notice the pattern

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OpenStudy (anonymous):

a*r^0+a*r^1+a*r^2
1 2 3
notice how the r^n is just -1 the nth term

OpenStudy (anonymous):

r^0 r^1 r^2 r^3
n1 n2 n3 n4
ooh ni is always a your starting a.
cause a*r^0 =a
r^0 = 1 so it is just a * 1= a