Question

Given the geometric progression 625,125,25,..... find the sixth team

Answer 1

Answer:

$\displaystyle{\text{t}_6=1/25}$

Step-by-step explanation:

Given :

625 , 125 , 25 ... are in GP.

We have :

First term ( a ) = 625

Common ratio ( r ) = 125 / 625 = 1 / 5

Also given n = 6

We have to find sixth term.

We have :

$\display \text{t _n = ar ^{n-1} }$

$\displaystyle{\text{t}_6=625\times1/5^{6-1}}\\\\\\\displaystyle{\text{t}_6=625\times1/5^5}\\\\\\\displaystyle{\text{t}_6=5^3\times1/5^5}}\\\\\\\displaystyle{\text{t}_6=1/5^2}\\\\\\\displaystyle{\text{t}_6=1/25}$

Hence we get answer.