SOLUTION: Compute the sum Σ from k=1 to infinity of (-7/6)^(k-1) The correct answer is one of the following. Which one is correct? A) 7/6 B) 7 C) 7/13 D) does not exist

Question 1199002: Compute the sum Σ from k=1 to infinity of (-7/6)^(k-1)
The correct answer is one of the following. Which one is correct?
A) 7/6
B) 7
C) 7/13
D) does not exist
Answer by mccravyedwin(407) (Show Source): You can put this solution on YOUR website!


That's an infinite geometric series with common ratio r = -7/6.
But an infinite geometric series diverges (does not exist) when |r| > 1.

But |-7/6| = 7/6 > 1, so the series does not exist.

Edwin

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