Arithmetic Sequences Worksheets Grade 12

1. Arithmetic sequence: a₁=9, d=7. Write explicit formula aₙ = ?
2. Tane is constructing a visual pattern using hexagonal tiles arranged in rows. The first row has 9 tiles, the second row has 15 tiles, the third row has 21 tiles, and the fourth row has 27 tiles. If this arithmetic pattern continues, and there are 17 rows in total, what is the total number of hexagonal tiles Tane needs to complete the entire pattern?
3. A pharmaceutical company is modeling the concentration of a new drug in a patient's bloodstream over time. The concentration C(t) in milligrams per liter is given by the function C(t) = 50te^(-0.2t), where t is time in hours after administration. The company needs to determine the maximum concentration of the drug and the time at which this maximum occurs. Find both the time of maximum concentration and the maximum concentration value.

…and 5 more problems

1. Arithmetic sequence: a₁=15, d=5. Write explicit formula aₙ = ?
2. A pharmaceutical company is modeling the concentration of a new drug in a patient's bloodstream over time. The concentration C(t) in milligrams per liter follows the function C(t) = 50te^(-0.2t), where t is time in hours after administration. The company needs to determine the maximum concentration reached and the time at which it occurs. Find both the time of maximum concentration and the maximum concentration value.
3. Mere's arithmetic sequence: 23, 37, 51, 65... Write the explicit formula aₙ = ?

…and 5 more problems

1. Arithmetic sequence: a₁=7, d=9. Write explicit formula aₙ = ?
2. Matiu is saving up to buy a new video game that costs $463. Matiu starts with $71 and adds the same amount of money to the savings account every week. After 28 weeks, Matiu has exactly enough money to buy the game. How much money does Matiu add each week?
3. Aroha's arithmetic sequence: 9, 15, 21, 27... Write the explicit formula aₙ = ?

…and 6 more problems