You need to jQuery each().
$(".tdInner1").find(".block").each( function () {
if( $(this).next().hasClass("continuation") ) {
console.log("yes");
} else {
console.log("no");
}
});
Read more about jQuery each()in the official documentation
or you can use filter()
var block = $(".tdInner1 .block");
var continuation_is_next = block.next().filter(".continuation").prev();
or how is it
var continuation_is_next= $(".tdInner1 .block + .continuation").prev();
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