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Mathematics 19 Online
OpenStudy (anonymous):

What is the 8th term of the geometric sequence -1, 4, -16, …? i really need help!!

jimthompson5910 (jim_thompson5910):

what is the first term

OpenStudy (anonymous):

-1 i assume

jimthompson5910 (jim_thompson5910):

yep

jimthompson5910 (jim_thompson5910):

what is the common ratio

OpenStudy (anonymous):

i have no idea

jimthompson5910 (jim_thompson5910):

pick any term and divide it by the previous term

OpenStudy (anonymous):

so -4?

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

how would you use those two facts to get the nth term?

OpenStudy (anonymous):

no clue

jimthompson5910 (jim_thompson5910):

what is the general formula for a geometric sequence

OpenStudy (anonymous):

i have no clue

jimthompson5910 (jim_thompson5910):

the formula is \[\large a_{n} = a*r^{n-1}\]

jimthompson5910 (jim_thompson5910):

in this case first term: a = -1 common ratio: r = -4

jimthompson5910 (jim_thompson5910):

so plug those two pieces of info in

jimthompson5910 (jim_thompson5910):

and tell me what you get

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