If a person recited a Beracha over a fruit that was on the table, and then more fruit was served later, he does not repeat the Beracha over the new fruit, provided that he did not have specific intent for his Beracha to cover only the first fruit. The Shulhan Aruch rules that even though the person did not specifically intend to eat an additional fruit, his Beracha nevertheless covers the new fruit that is brought to the table, as long he did not specifically intend for the Beracha to cover only the fruit in front of him.
This applies not only if another of the same species of fruit was brought – such as if one recited "Ha’etz" over an apple, and then more apples were brought – but even if a different species of fruit was brought – such as if one recited "Ha’etz" over an apple, and later an orange was brought. In either case, the Beracha is not repeated over the new fruit, as long as the person’s intent was not specifically limited to the first fruit.
This applies also to other Berachot, such as "Mezonot." For example, if a person recited "Mezonot" over cookies, without any specific intent to limit his Beracha, and then cake was brought to the table, he eats the cake without a Beracha, as the cake is covered by the Beracha he recited over the cookies.
Summary: If a person recited a Beracha over food that was in front of him, and then food requiring the same Beracha was brought, he does not repeat the Beracha over the new food, as long as he did not specifically intend when he recited the Beracha that it should cover only the food in front of him.