Which of the following statements is true for the series the summation from n equals 0 to infinity of the product of negative 1 raised to the nth power and 5 over 4 to the nth power ?

Question

Which of the following statements is true for the series  ?

A
The series diverges because it is geometric with r =  and a = -1.

B
The series converges to 4 because it is geometric with r =  and a = 5.

C
The series converges to -1 because it is geometric with r =  and a =  .

D
The series diverges because it is geometric with r =  and a = 1.

Paul M. · Accepted Answer

The answer is B...for just the reason stated.

1 Expert Answer

A	The series diverges because it is geometric with r = and a = -1.
B	The series converges to 4 because it is geometric with r = and a = 5.
C	The series converges to -1 because it is geometric with r = and a = .
D	The series diverges because it is geometric with r = and a = 1.