The NCAA yesterday banned Texas Christian University's football program from bowl competition for a year because of cash payments by boosters and ordered the school to forfeit television revenue from the 1983 and 1984 football seasons and give up 35 scholarships for two years.

The penalties were reduced substantially because the university informed the NCAA in September 1985 that seven players -- including all-America running back Kenneth Davis -- had been accepting cash.

TCU is not expected to appeal the punalties, which include a three-year probationary period with annual visits by NCAA enforcement personnel and an audit of expenses and income of football players.

Specifically, the penalties, for infractions that occurred from 1979 through 1985, are: TCU will be permitted to give only 10 scholarships in the 1987-88 academic year and 15 for the 1988-89 academic year.

However, a TCU spokesman said that, because of the 95-player limit, the Horned Frogs would have given no more than 10-15 scholarships next year anyway and an NCAA source said TCU likely would have had only about 20 scholarships available for 1988-89 for the same reason. This penalty, unlike sanctions in other cases, did not reduce the 95-player limit. Six representatives of the university's athletic interests will be disassociated from involvement of any kind as a result of their involvement in the violations.The university will not be allowed to play in a bowl game at the close of the 1986 season. TCU must forfeit $343,203 to the NCAA in TV revenues earned in 1983-84. But the team's games can be televised.

David Berst, director of NCAA enforcement, said TCU's penalties were lessened because of the self-disclosure, but "it would be unreasonable for TCU not to expect to pay a price for the violations." . . .

In Philadelphia, Georgetown's varsity crew advanced to the semifinals of the 48th Annual Dad Vail Regatta by placing third in the qualifying heat of the varsity eight division with a 6:01.3. The semifinals and final will be held today.

George Washington's men's varsity four team also advanced by winning its heat, 6:41.4.

Other crews that advanced were two freshman novice lightweight eight teams, the freshman novice and junior varsity eight from Georgetown and freshman novice team and women's varsity four team from George Washington.