What is the 7th term of the geometric sequence 4, -20, 100, …?

1 Answer
Jun 18, 2017

77 th term is 6250062500

Explanation:

nn th term of geometric sequence is T_n= a*r^(n-1); a,r,nTn=arn1;a,r,n are the first term , common ratio and requred term respectively.

Here a =4 ,r = -20/4=100/-20= -5 , n= 7 :. T_7= 4*(-5)^(7-1) or

T_7= 4*(-5)^6=62500 [Ans]