Arithmetic Sequences and Series Answers

Form a sequence that has two arithmetic means between 13 and 88.

Form a sequence that has two arithmetic means between -1 and 59.

Find the sum of the first 90 terms of the sequence –4, –1, 2, 5, 8, ...

At the 1998 Winter X-Games held in Crested Butte, Colorado, Jennie Waara, from Sweden, won the women’s snowboarding slope-style competition. Suppose that in one of the qualifying races, Ms. Waara traveled 5 feet in the first second, and the distance she traveled increased by 7 feet each subsequent second. If Ms. Waara reached the finish line in 15 seconds, how far did she travel?

Find the next four terms in the arithmetic sequence.-15, -7, 1, ...

The right side of the orchestra section of the Nederlander Theater in New York City has 19 rows, and the last row has 27 seats. The number of seats in each row increases by 1 as you move toward the back of the section. How many seats are in this section of the theater.

Find the 17th term in the sequence for which a1 = 10 and d = -3.

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize. Find the amounts of the least and greatest prizes the radio station will award.

Find the sum of the first 70 terms of the sequence –6, –3, 0, 3, 6, ...

Antonio has found that he can input statistical data into his computer at the rate of 2 data items faster each half hour he works. One Monday, he starts work at 9:00A.M., inputting data at a rate of 3 data items per minute. At what rate will Antonio be inputting data into the computer by lunchtime (noon)?