in a gp the sixth term is 8 times the third term, and the sum of the seventh and eighth term is 192. determine the common ratio

common ratio = 2

Step-by-step explanation:

T6 = ar^5

T3 = ar²

T6 = 8 x T³

ar^5 = 8 x ar²

ar^5/ar² = 8

r³ = 8

r = ³√8

r = 2

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

the answer is 62.8 cubic units