Asked by Olamide
The 3rd and 7th term of a g.p is 3/4 and 4/27. find the 4th term
Answers
Answered by
mathhelper
3rd term is 3/4 or ar^2 = 3/4
7th germ is 4/27, or ar^6 = 4/27
divide them
ar^6/(ar^2) = (4/27) / (3/4)
r^4 = (4/27)(4/3) = 16/81
r = ± 2/3
into ar^2 = 3/4
a(4/9) = 3/4
a = 27/16
if a = 27/16 and r = 2/3
term(4) = ar^3 = 27/16 * 8/27 = 1/2
if a = 27/16 and r = -2/3
term(4) = -1/2
7th germ is 4/27, or ar^6 = 4/27
divide them
ar^6/(ar^2) = (4/27) / (3/4)
r^4 = (4/27)(4/3) = 16/81
r = ± 2/3
into ar^2 = 3/4
a(4/9) = 3/4
a = 27/16
if a = 27/16 and r = 2/3
term(4) = ar^3 = 27/16 * 8/27 = 1/2
if a = 27/16 and r = -2/3
term(4) = -1/2
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.