Question

FIND THE 10th and Nth TERM OF THE GP
-3/4,1/2,-1/3,2/9 etc?
​

Answer 1

Answer:

Formula for nth term of a gp is ar^(n-1)

let's find r first.. first term is 'a' = -3/4.. second term is 1/2..

by using formula in the first line for second term n=2... so putting in formula

1/2= -3/4*r^(2-1)

1/2= -3/4*r^1

1/2= -3/4*r

1/2*4/-3=r

r= -2/3

Now Nth term is = 1/2* (-2/3)^(n-1)

And 10rh term is = 1/2* (-2/3)^(10-1)