Ranking after indexing?

On one of my blogs, The URLs got indexed which i could see through site:example.com but after using a link indexing service those post links are not visible. will my website take time to show some rankings after getting indexed?

Articles getting indexed is a good sign, but it doesn't guarantee any ranking on the SERPs.

Indexing and ranking are 2 different things.

If your page is indexed in Google that doesn't mean that it will start showing on SERPs maybe it can but it depends on your niche and competition mostly.

Maybe your website is still in the sandbox period.

Ranking depends on multiple factors such as:-
1. Posts content quality and length: Compare it with your competitors' content and then realize if your content is more unique, knowledgeable and time worthy to the readers.
2. SEO optimization: If your content is SEO optimized with proper usage of H1, H2 headings, relevant media (images, videos), post title, description, etc..
3. Keyword competition: If it's a very low level keyword, then you might get the desired results with a few or even 0 backlinks.