Find the 10th term of the G. P. (geometric progression) 

12, 4, 1 1/3

Asked by nithiyanandan | 8th Jul, 2019, 08:49: PM

Expert Answer:

begin mathsize 16px style Here space straight a subscript 1 space end subscript equals space 12 space and space straight r space equals space 4 over 12 equals space 1 third
straight n to the power of th space space term space of space straight a space Geometric space Progression space is space given space by
straight a subscript straight n space equals space straight a subscript 1 open parentheses straight r close parentheses to the power of straight n minus 1 end exponent
rightwards double arrow straight a subscript 10 space equals space 12 space cross times space open parentheses 1 third close parentheses to the power of 10 minus 1 end exponent
space space space space space space space space space equals space 12 space cross times open parentheses 1 third close parentheses to the power of 9
space space space space space space space space space equals space 12 space cross times 1 third cross times open parentheses 1 third close parentheses to the power of 8
space space space space space space space space space equals space 4 space cross times open parentheses 1 third close parentheses to the power of 8
end style

Answered by Yasmeen Khan | 9th Jul, 2019, 11:04: AM