President Carter predicted last night, after the first day of a seven-nation economic summit meeting that "the final result will be good" and will please the world economic community.

West German Chancellor Helmut Schmidt and U.S. Treasury Secretary W. Michael Blumenthal indicated in separate briefings, however, that the final communique will be couched in general language, supplemented by "specific statements applicable to each country."

Sources said that the "specific statements" were not intended to refer to specific growth goals included in the communique of the London summit last year. Rather, each country would name an "undertaking" of its own, without spelling out the details on how the "undertaking" would be achieved.

Trade issues and rich nation-poor nation problems will be discussed today, and a final communique will be issued on seven topics. Yesterday's discussions were grouped under the headings of growth, inflation, employment, and international monetary problems.

On the subject of the U.S. dollar, President Carter made clear that there had been no change in the U.S. position which holds that intervention is required only to counter disorderly market conditions.

On the question of the European plan for greater European monetary integration, Blumenthal indicated that the United States had taken a non-committal position until details of the program are elaborated.

It was not apparent from the results of the first day how far President Carter was willing to go in cutting energy consumption, or how deeply Schmidt was willing to commit West Germany to more economic expansion.

Both men are limited in their ability to make meaningful commitments by political problems in their own countries. Schmidt, however, said, "You can expect a statement on the need to reduce the volume of imports of energy, and this will involve the increased use of coal and nuclear energy."

Carter apparently did not promise to cut energy consumption by administrative action. He told reporters in a conversation outside the U.S. ambassador's residence that "it would be inappropriate" for him to call for an oil quota in the communique "because I have not decided myself about the advisability of this action."

In his briefing, Blumenthal said that Carter's only energy reduction pledge was in reference to the two million barrels per day savings that would result from congressional approval of four of the five major proposals in his energy bill. He also expressed hope that Congress would pass the fifth part of the bill, the equalization tax that would raise U.S. oil prices to the level of the world market.

Blumenthal said Carter also pledged U.S. fiscal policy that would help in the fight against inflation and a "satisfactory" real growth rate in excess of 4 percent. Last year's was 6 percent.

Carter also pointed with some satisfaction, Blumenthal said, to the reduction of unemployment in the United States to below 6 percent, and that "all of the participants" said that this was "a model they hoped to follow."

The seven leaders - Carter, Schmidt, French president Valery Giscard D'Estaing, British Prime Minister James Callaghan, Canadian Prime Minister Pierre Trudeau, Italian Premier Guilio Andreotti and Japanese Prime Minister Takeo Fukuda - met in morning and afternoon sessions at Schaumberg Palace. the sessions were also attended by Common Market Commission President Roy Jenkins.

They also met for a working lunch, and for a dinner hosted by Schmidt. At his meeting with reporters, Schmidt revealed that noneconomic discussions also took place. At lunch an agreement had been reached "on a new approach" to the problem of terrorism.

Sources indicated that the "new approach" would include cooperation against terrorists and pressure on countries with weak or nonexistent extradition laws.

There was some confusion as to how specific the addenda to the communique will be. It appears possible that some nations will be more specific than others. French spokesman, for example, said that there would be a French commitment to double France's budget deficit from about $2 billion to $4 billion which would add one-half point to the French growth rate this year.

Schmidt was reported to have called his financial advisers into a special session last night.The expectation was that the West German "specific" statement would contain at least some reference to the goal of higher growth.

Privately, American officials expect that there will be a moderate West German growth program - a "package" of some tax cuts and higher spending programs.

Blumenthal said that Carter had indicated his strong feeling that it is important "that all of the countries here do the maximum possible to maintain, and where necessary, endorse, rates of real growth on a noninflationary basis."

He said that all of the leaders, including Schmidt, "were willing to take the necessary actions to ensure that this be done."