Troubleshooting with the module Configuration

Login in to your DB admin
Then RUN this query to create a table CREATE TABLE statement for search_api_task:

CREATE TABLE `search_api_task` (
`id` int(10) unsigned NOT NULL AUTO_INCREMENT,
`type` varchar(50) DEFAULT NULL,
`server_id` varchar(50) DEFAULT NULL,
`index_id` varchar(50) DEFAULT NULL,
`data` longtext,
PRIMARY KEY (`id`)
) ENGINE=InnoDB DEFAULT CHARSET=utf8mb4 COMMENT='The base table for search_api_task entities.';

After creating this table clear cache it would be fixed.

using above solution we can avoid the issue but need some permanent solution

Try to run update.php it may work!

Hi dharmeshbarot tried that as well but no use still facing same issue thats why need to run above query

The search_api_task table should be created when installing the Search API module, and it definitely works in almost all cases. (For instance, most of our automated tests → would fail if that weren’t the case. But also, there would be a lot more issues complaining about this.) So, it appears there is something specific about your setup that causes the installation to not work as expected.
Have you tried uninstalling and then reinstalling the Search API module? If so, and it didn’t work, are there any error log messages? Do you have any special modules installed that affect how content entities are stored, or that modify database functionality in a fundamental way?