What is the 8th term of the sequence 6,18,54,....?
Mathematics · High School · Mon Jan 18 2021
llm
Answered on
Clearly, 6 x 3 = 18, 18 x 3 = 54,.....
So,
the series is a G.P. in which a = 6, r = 3.
Therefore 8th term
= a*r^8-1
= a*r^7
= 6 x 3^7
= (6 x 2187)
= 13122
8th term of the sequence 6,18,54,.... 13122