Sequences

1. Constructing a Brick Staircase A brick staircase has a total of 30 steps. The bottom step requires 100 bricks. Each successive step requires two less bricks than the prior step.

a. How many bricks are required for the top step?

b. How many bricks are required to build the staircase?

2. the Drury Lane Theater has 25 seats in the first row and 37 in the 7th row. If the number of seats in each row is an arithmetic sequence, how many seats are in the 21th row? (Use the formula to find d and then again to find the number of seats in the 21th row.)

3. Warren wanted to save money to purchase a new car. he started by saving $1 on the first of January. On the first of February, he saved $3. On the first of March he saved $9. So, on the first day of each month, he wanted to save three times as much as he did on the first day of the previous month. If Warren continues his savings pattern, how much will he need to save on the first day of September?

4. A local charity received $8,500 in charitable contributions during the month of January. Because of a struggling economy, it is projected that contributions will decline each month to 95% of the previous month's contributions.

a. What are the expected contributions for the month of August?

b. What is the total expected contributions that this charity can expect at the end of the year?

2 answers

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what are the answers to number 3