Please capitalize where necessary: if the sequence of odd numbers (1, 3, 5, 7 ) is cumulatively summed the result is the sequence (1, 4, 9, 16, ), the squared integers.
A: If the sequence of odd numbers (1, 3, 5, 7 ) is cumulatively summed the result is the sequence (1, 4, 9, 16, ), the squared integers.

Please capitalize where necessary: winnings are paid out on the highest combination only. malfunctions void all plays and pays.
A: Winnings are paid out on the highest combination only. Malfunctions void all plays and pays.

Please capitalize where necessary: people commit the right actions expecting to be rewarded in the end.
A: People commit the right actions expecting to be rewarded in the end.

Please capitalize where necessary: a second opera the harvest, which had a red indian theme, had been performed at the little theatre, palace of the legion of honor in san francisco on 14 and 17 october 1933.
A:
A second opera The Harvest, which had a Red Indian theme, had been performed at the Little Theatre, Palace of the Legion of Honor in San Francisco on 14 and 17 October 1933.