If your partner is cheating there will be plenty of obvious signs
. Follow any patterns of change that may occur with your partner. If they have rapidly changed a routine that has been the same for a while e.g. finishing work a lot later, making more effort with their appearance but not acknowledging you and whether you notice. All of these factors could mean they are cheating. If you are living with your partner, an obvious hint would be any loss of money. If your partner is all of a sudden bringing home less money than they previously have, this mean they could be spending it on someone else. Keep an eye out to see how your partner is acting towards you. If they are acting distant with you, if they are cheating they are likely to be less affectionate and not want to spend time with you at home or in public. There are also simple signs of cheating such as your partner smelling of perfume of the opposite sex that you dont wear, starting arguments as an excuse to leave the house.
There is a high chance that your partner will not admit to cheating if you ask them face to face. Make a list of everything you have noticed that has been different and the changes that have occurred. This will make it easier when you confront them and ask them to explain the reason for each change. Always trust your instinct in this situation, your feelings will tell you the truth about is.
This decision is completely up to you. It depends how you feel for your partner. If you feel that you can forgive and forget and you want to give them a second chance, only do this if you will be able to trust them again. This is for your own benefit; if you dont trust them you will be paranoid for the remainder of the relationship. If you feel like you can forget what happened and trust them again, no one is telling you to end the relationship, if you do give the relationship a go again and realise its not working you can end it.