The sequence {(-1)n 1/n} is

The sequence {(-1)^n * 1/n} is an example of an alternating sequence. This means that the sign of each term in the sequence alternates between positive and negative.

Here's how the sequence looks for the first few terms:

• When n=1, the term is -1*1/1 = -1.
• When n=2, the term is (-1)^2

The sequence {(-1)^n * 1/n} is an alternating sequence. This means that the sign of each term in the sequence alternates between positive and negative.

Here's how the sequence looks for the first few terms:

• When n=1, the term is -1*1/1 = -1.
• When n=2, the term is (-1)^2*1/2 = 1/2.
• When n=3, the term is (-1)^3*1/3 = -1/3.
• When n=4, the term is (-1)^4*1/4 = 1/4.

And so on.

The sequence is decreasing in absolute value, because 1/n gets smaller as n gets larger. However, due to the (-1)^n factor, the sign of each term alternates between negative and positive.

The sequence {(-1)^n * 1/n} is a sequence of real numbers that alternates in sign. Here's how it works:

1. For n = 1, the term is -1 * 1/1 = -1.
2. For n = 2, the term is 1 * 1/2 = 0.5.
3. For n = 3, the term is -1 * 1/3 = -0.33.
4. For n = 4, the term is 1 * 1/4 = 0.25.

And so on. The sequence continues to alternate between negative and positive values, and the absolute value of each term decreases as n increases. This is because the factor 1/n gets smaller as n gets larger.

This sequence is an example of an alternating harmonic sequence.

The sequence {(-1)^n * 1/n} is an example of an alternating sequence. This means that the sign of each term in the sequence alternates between positive and negative.

Here's how the sequence looks for the first few terms:

• When n=1, the term is -1 * 1/1 = -1.
• When n=2, the term is 1 * 1/2 = 0.5.
• When n=3, the term is -1 * 1/3 = -0.33.
• When n=4, the term is 1 * 1/4 = 0.25.

And so on.

The sequence is decreasing in absolute value, and approaches 0 as n approaches infinity. Therefore, we can say that the sequence converges to 0.

The sequence {(-1)^n * 1/n} is an alternating sequence. This means that the sign of each term in the sequence alternates between positive and negative.

Here's how it works:

1. For n=1, the term is -1*1/1 = -1.
2. For n=2, the term is (-1)^

The sequence {(-1)^n * 1/n} is a sequence of real numbers that alternates in sign and decreases in absolute value as n increases.

Here's a step-by-step breakdown:

1. The term (-1)^n is responsible for the alternating sign. When n is an even number, (-1)^n equals 1. When n is an odd number, (-1)^n equals -1.

2. The term 1/n decreases as n increases. For example, when n=1, 1/n = 1. When n=2, 1/n = 0.5. When n=3, 1/n = 0.33, and so on.

3. Therefore, the sequence {(-1)^n * 1/n} alternates in sign and decreases in absolute value as n increases. For example, the first few terms of the sequence are -1, 0.5, -0.33, 0.25, -0.2, and so on.

This sequence is an example of an alternating series.

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The sequence {(-1)^n * 1/n} is an example of an alternating sequence. This is because the term (-1)^n alternates between -1 and 1 as n increases.

Here's how the sequence looks for the first few terms:

• When n=1, the term is -1 * 1/1 = -1.
• When n=2, the term is 1 * 1/2 = 0.5.
• When n=3, the term is -1 * 1/3 = -0.33.
• When n=4, the term is 1 * 1/4 = 0.25.

And so on. The sequence alternates between negative and positive values, and the absolute value of each term decreases as n increases.