If it is in a large pot with no drainage, it could be overwatering. The roots might not be reaching the bottom of the pot and the water could be pooling there. I would repot it in a pot with drainage holes and if the pot is a lot larger than it should be then you should give it a smaller pot since kentias are slow growing palms anyway.

Another problem could be the dry air indoors if you are running air conditioning. Misting the leaves could be a fix for that problem.

Also check for webs between the leaflets and pretty much at any joints. If you see small webs, those are from spider mites which could be the cause of your problem. They love the indoors.

Good luck!
-Alex

The tips of the leaves are brown. If you water with tap water the salts in the water build up and this turns the tips brown. Always water with rain water or if you can't get rain water use bottled water. The chlorosis on the centre part of the leaves may be due to the same build up of salts and/or waterlogging. Repot the plant with drainage holes. The rest of the leaves and stems on the whole appear green and healthy apart from the yellowing so a new shoot will be able to grow. When you change to rain or bottled water you should see new leaves without the brown tip.

I bet it's spider mites based on leaf discoloration. Check the underside of leaves and post pic if possible. Palms that are growing indoors under dry air conditions are very prone to spider mites.

No drainage is very bad..lethal. I bet its going anaerobic down at the bottom of the pot.
Put it in a pot with much drainage holes. They are very slow growers..but eventually you will see it recover.