A centerMode slider looks like as follows,

Below is the code for slider using slick slider
HTML:
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<link href="https://cdnjs.cloudflare.com/ajax/libs/slick-carousel/1.9.0/slick.min.css" rel="stylesheet"/>
<script src="https://cdnjs.cloudflare.com/ajax/libs/slick-carousel/1.9.0/slick.min.js"></script>
<div class="slider">
<div class="slider__item">
<img src="https://pp.userapi.com/c849132/v849132998/45c5c/RSTineyyvfE.jpg" alt="">
</div>
<div class="slider__item">
<img src="https://pp.userapi.com/c849132/v849132998/45c5c/RSTineyyvfE.jpg" alt="">
</div>
<div class="slider__item">
<img src="https://pp.userapi.com/c849132/v849132998/45c5c/RSTineyyvfE.jpg" alt="">
</div>
<div class="slider__item">
<img src="https://pp.userapi.com/c849132/v849132998/45c5c/RSTineyyvfE.jpg" alt="">
</div>
<div class="slider__item">
<img src="https://pp.userapi.com/c849132/v849132998/45c5c/RSTineyyvfE.jpg" alt="">
</div>
<div class="slider__item">
<img src="https://pp.userapi.com/c849132/v849132998/45c5c/RSTineyyvfE.jpg" alt="">
</div>
</div>
JS
$('.slider').slick({
centerMode: true,
centerPadding: '30px',
slidesToShow: 3,
adaptiveHeight: false
});
CSS
.slick-slide img {
max-width: 100%;
transition: transform 0.5s;
}
.slick-slide.slick-center img{
transform: scale(2.1);
}