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The sequence  is

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  1. Convergent
  2. Divergent to ∞
  3. Divergent to -∞
  4. None of the above

Answer (Detailed Solution Below)

Option 3 : Divergent to -∞
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Detailed Solution

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Concept:

The Nth term test

If , where L is any tangible number other than zero. Then,  diverges.

This is also called the Divergence test.

Calculation:

We have, 

So, as n → ∞,  → 0

Thus, our series diverges to -∞ by the nth term test.

Hence, The sequence  is divergent to -∞.

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