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A basketball team has a halftime promotion where a fan gets to shoot a 3-pointer to try to win a jackpot. The jackpot starts at \(5000 for the first game and increases \)500 each time there is no winner. Ken has tickets to the fifteenth game of the season. How much will the jackpot be for that game if no one wins by then?

The African-American festival of Kwanzaa includes a ritual involving candles. The first night, a candle is lit and then blown out. The second night, a new candle and the candle from the previous night are lit and blown out. This pattern of lighting a new candle and relighting all the candles from the previous nights is continued for seven nights.Use a formula from this lesson to find the total number of candle lightings during the festival.

Find $S_n$ for each arithmetic series described.

localid="1648546868155" $a_1=7,a_n=79,n=8$

Find the next four terms of each arithmetic sequence.

9, 16, 23, …

Find the next four terms of each arithmetic sequence.

31, 24, 17, …

Find the next four terms of each arithmetic sequence.

31, 24, 17, …

Find the next four terms of each arithmetic sequence.

-6, -2, 2, …

Find the next four terms of each arithmetic sequence.

-6, -2, 2, …

Find the next four terms of each arithmetic sequence.

-8, -5, -2, …

Find the next four terms of each arithmetic sequence.

-8, -5, -2, …