Arithmetic Sequences

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Find the first six terms and the three hundredth term of the arithmetic sequence 13,6,…
The eleventh term of an arithmetic sequence is 52 and the nineteenth term is 92. Find the one thousandth term.
An amphitheater has 50 rows of seats with 30 seats in the first row, 32 in the second, 34 in the third, and so on. Find the total number of seats.
Telephone poles are stored in a pile with 25 poles in the first layer, 24 in the second, and so on. If there are 12 layers, how many poles are there in total?
A man gets a job with a salary of $30,000 a year. He is promised a $2300 raise each subsequent year. Find his total earnings for a 10-year period.
A falling ball falls 16 feet in the first second, feet ft in the next second, 80 feet in the following second, and so on. Find the total distance a ball falls in 6 seconds, and then find a formula for the total distance a ball falls in n seconds.