<p>For each of the following, describe the behaviour of the sequence and determine whether the sequence is convergent or divergent. Find the limit of the sequence if it converges.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$\left\{ \frac{1}{4}-\frac{2}{{{\left( 3n+1 \right)}^{2}}} \right\},n\in {{\mathbb{Z}}^{+}}$</div></li><li><div class="list-item-paragraph">$\left\{ \frac{5{{n}^{2}}+4n+1}{\left( 2n+1 \right)\left( 3n-2 \right)} \right\},n\in {{\mathbb{Z}}^{+}}$</div></li><li><div class="list-item-paragraph">$\left\{ {{\left( -2 \right)}^{n}} \right\},n\in {{\mathbb{Z}}^{+}}$</div></li><li><div class="list-item-paragraph">$\left\{ {{\left( \frac{1}{2} \right)}^{n}} \right\},n\in {{\mathbb{Z}}^{+}}$</div></li></ol>

For each of the following, describe the behaviour of the sequence and determine whether the sequence is convergent or divergent. Find the limit of the sequence if it converges.

$\left\{ \frac{1}{4}-\frac{2}{{{\left( 3n+1 \right)}^{2}}} \right\},n\in {{\mathbb{Z}}^{+}}$

$\left\{ \frac{5{{n}^{2}}+4n+1}{\left( 2n+1 \right)\left( 3n-2 \right)} \right\},n\in {{\mathbb{Z}}^{+}}$

$\left\{ {{\left( -2 \right)}^{n}} \right\},n\in {{\mathbb{Z}}^{+}}$

$\left\{ {{\left( \frac{1}{2} \right)}^{n}} \right\},n\in {{\mathbb{Z}}^{+}}$

Techniques of Differentiation - General

Techniques of Differentiation

H2 Math

International Baccalaureate Higher Level Mathematics

NJC Sequence and Series Tutorial Q1

NJC Sequence and Series Tutorial Q1

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