user5523: Throughout the holy texts it is implied that the reader is looking for a way to stop the cycle.
Why should the reader want to stop the cycle?

user496: The reason is to stop the samsara is we are having more, more and more dukkha than the happiness in the samsara. 
It cannot be measured with only concerning one life. we have to consider massive collection of lives (example- billions of lives). After analyzing those massive number of lives Load Buddha have seen that largest portion of the lives we were in the hells (4 hells. narakaya, thirisan, pretha, asura. Sad but that's the truth). Because of the desires in creatures they always trends to make pleasure out of things. So the possibility of doing bad karma is very high. So out of Billions of lives, creatures come to human and heavens very few times that can be counted with fingers in one hand. That means time we spent in the good times are neglectable. 
If we had a teachings of a Lord Buddha we can get rid of usual cycle for a time. But if we didn't take actions to attain nibbana, we have to face usual cycle again. 
So we have to stop this cycle now or suffer from the sadness for unlimited number of times. Intelligent people understand this tragedy and get rid of samsara as soon as possible. 

user151: Unless we have great faith, we don't actually start with wanting cessation of Samsara. If we started out truly not wanting Samsara then we would be starting out almost enlightened, wouldn't we? 
We start out practicing because we  want smaller attainments and realizations within Samsara(smaller than Nibbana) because we can only see things from the ego's point of view and to the ego, Nibbana looks very scary. At some point in our practice we drop our false ego view and can truly see deeply in our   hearts why we should get out of this endless prison towards freedom from suffering. 
 A little correct meditation practice will show that a little of the Buddha's teaching is in harmony with a little of the meditator's meditation experience and so the meditator gets a little faith in the rest of the Buddha's teaching that has only been read about. A lot of correct practice will result in a lot of the meditator's experience being inline with a lot of the Buddha's teaching and so the mediator gets a lot of faith in the  rest of the teachings not yet experienced.

user254: I think that dukkha is the reason why the reader is looking for a way to stop the cycle.
I think that, because the "four noble truths" were the first thing that the Buddha explained, during his first sermon after enlightenment (with dukkha being the subject of the first of these four noble truths).
The fact that dukkha is the cause of the search (i.e. that "the search is the result of stress") is also stated explicitly, in the Nibbedhika Sutta:

"'Stress should be known. The cause by which stress comes into play should
  be known. The diversity in stress should be known. The result of
  stress should be known. The cessation of stress should be known. The
  path of practice for the cessation of stress should be known.' Thus it
  has been said. In reference to what was it said?
Birth is stress, aging is stress, death is stress; sorrow,
  lamentation, pain, distress, & despair are stress; association with
  the unbeloved is stress; separation from the loved is stress; not
  getting what is wanted is stress. In short, the five
  clinging-aggregates are stress.
"And what is the cause by which stress comes into play? Craving is the
  cause by which stress comes into play.
"And what is the diversity in stress? There is major stress & minor,
  slowly fading & quickly fading. This is called the diversity in
  stress.
"And what is the result of stress? There are some cases in which a
  person overcome with pain, his mind exhausted, grieves, mourns,
  laments, beats his breast, & becomes bewildered. Or one overcome with
  pain, his mind exhausted, comes to search outside, 'Who knows a way or
  two to stop this pain?' I tell you, monks, that stress results either
  in bewilderment or in search. This is called the result of stress.


Saying that dukkha is the reason for the search might seem like a one-size-fits-all answer: if several/many people want to stop the cycle, do they all have the same reason for wanting to?
For that reason, dukkha is a broad term with apparently several meanings or usages; the WIkipedia article starts with ...

Dukkha (Pāli; Sanskrit: duḥkha; Tibetan: སྡུག་བསྔལ་ sdug bsngal, pr. "duk-ngel") is a Buddhist term commonly translated as "suffering", "anxiety", "stress", or "unsatisfactoriness".[a] The principle of dukkha is one of the most important concepts in the Buddhist tradition. The Buddha is reputed to have said: "I have taught one thing and one thing only, dukkha and the cessation of dukkha."

... and then continues, with many various categories (and translations) of dukkha.

5523: <p>Throughout the holy texts it is implied that the reader is looking for a way to stop the cycle.</p>

<p>Why should the reader want to stop the cycle?</p>
 496: <p>The reason is to stop the samsara is we are having more, more and more dukkha than the happiness in the samsara. </p>

<p>It cannot be measured with only concerning one life. we have to consider massive collection of lives (example- billions of lives). After analyzing those massive number of lives Load Buddha have seen that largest portion of the lives we were in the hells (4 hells. narakaya, thirisan, pretha, asura. Sad but that's the truth). Because of the desires in creatures they always trends to make pleasure out of things. So the possibility of doing bad karma is very high. So out of Billions of lives, creatures come to human and heavens very few times that can be counted with fingers in one hand. That means time we spent in the good times are neglectable. </p>

<p>If we had a teachings of a Lord Buddha we can get rid of usual cycle for a time. But if we didn't take actions to attain nibbana, we have to face usual cycle again. </p>

<p>So we have to stop this cycle now or suffer from the sadness for unlimited number of times. Intelligent people understand this tragedy and get rid of samsara as soon as possible. </p>
 151: <p>Unless we have great faith, we don't actually start with wanting cessation of Samsara. If we started out truly not wanting Samsara then we would be starting out almost enlightened, wouldn't we? 
We start out practicing because we  want smaller attainments and realizations within Samsara(smaller than Nibbana) because we can only see things from the ego's point of view and to the ego, Nibbana looks very scary. At some point in our practice we drop our false ego view and can truly see deeply in our   hearts why we should get out of this endless prison towards freedom from suffering. 
 A little correct meditation practice will show that a little of the Buddha's teaching is in harmony with a little of the meditator's meditation experience and so the meditator gets a little faith in the rest of the Buddha's teaching that has only been read about. A lot of correct practice will result in a lot of the meditator's experience being inline with a lot of the Buddha's teaching and so the mediator gets a lot of faith in the  rest of the teachings not yet experienced.</p>
 254: <p>I think that <em>dukkha</em> is the reason why the reader is looking for a way to stop the cycle.</p>

<p>I think that, because the "four noble truths" were the first thing that the Buddha explained, during <a href="http://www.accesstoinsight.org/tipitaka/sn/sn56/sn56.011.than.html">his first sermon after enlightenment</a> (with <em>dukkha</em> being the subject of the first of these four noble truths).</p>

<p>The fact that dukkha is the cause of the search (i.e. that "the search is the result of stress") is also stated explicitly, in the <a href="http://www.accesstoinsight.org/tipitaka/an/an06/an06.063.than.html">Nibbedhika Sutta</a>:</p>

<blockquote>
  <p>"'Stress should be known. The cause by which stress comes into play should
  be known. The diversity in stress should be known. The result of
  stress should be known. The cessation of stress should be known. The
  path of practice for the cessation of stress should be known.' Thus it
  has been said. In reference to what was it said?</p>
  
  <p>Birth is stress, aging is stress, death is stress; sorrow,
  lamentation, pain, distress, &amp; despair are stress; association with
  the unbeloved is stress; separation from the loved is stress; not
  getting what is wanted is stress. In short, the five
  clinging-aggregates are stress.</p>
  
  <p>"And what is the cause by which stress comes into play? Craving is the
  cause by which stress comes into play.</p>
  
  <p>"And what is the diversity in stress? There is major stress &amp; minor,
  slowly fading &amp; quickly fading. This is called the diversity in
  stress.</p>
  
  <p>"And what is the result of stress? There are some cases in which a
  person overcome with pain, his mind exhausted, grieves, mourns,
  laments, beats his breast, &amp; <strong>becomes bewildered</strong>. <strong><em>Or</em></strong> one overcome with
  pain, his mind exhausted, <strong>comes to search outside</strong>, 'Who knows a way or
  two to stop this pain?' I tell you, monks, that <strong>stress results either
  in bewilderment or in search</strong>. This is called the result of stress.</p>
</blockquote>

<hr>

<p>Saying that <em>dukkha</em> is <em>the</em> reason for the search might seem like a one-size-fits-all answer: if several/many people want to stop the cycle, do they all have the same reason for wanting to?</p>

<p>For that reason, <em><a href="https://en.wikipedia.org/wiki/Dukkha">dukkha</a></em> is a broad term with apparently several meanings or usages; the WIkipedia article starts with ...</p>

<blockquote>
  <p><strong>Dukkha</strong> (Pāli; Sanskrit: <em>duḥkha</em>; Tibetan: སྡུག་བསྔལ་ <em>sdug bsngal</em>, pr. "duk-ngel") is a Buddhist term commonly translated as "suffering", "anxiety", "stress", or "unsatisfactoriness".[a] The principle of <em>dukkha</em> is one of the most important concepts in the Buddhist tradition. The Buddha is reputed to have said: "I have taught one thing and one thing only, <em>dukkha</em> and the cessation of <em>dukkha</em>."</p>
</blockquote>

<p>... and then continues, with many various categories (and translations) of dukkha.</p>
