Algebra Homework – November 14/15
Write an equation for each problem, then clearly show your solution pathway. Your goal is WAY MORE than “getting the right answer”! It’s all about the process!!
1. Given a32=-337 and a40=-425 are two terms in an arithmetic sequence, find the explicit form of the sequence.
2. Given a45=-808 and a20=-383 are two terms in an arithmetic sequence, find the explicit form of the sequence.
3. Given a13=-94 and a41=-346 are two terms in an arithmetic sequence, find the explicit form of the sequence.
4. Given a geometric sequence with a 6th term of 1,562.5 and a common ratio of 52, find the explicit form of the sequence.
5. Given a geometric sequence with a 7th term of 75,776 and a common ratio of 4, find the explicit form of the sequence.
6. Given a geometric sequence with a 6th term of 91.125 and a 1st term of 12, find the explicit form of the sequence.
7. Given a geometric sequence with a 1st term of 46 and an 8th term of 5,888, find the explicit form of the sequence.
8. At the end of 2014, the population of Kenturi was 4,651. The population of Kenturi has been increasing by 2.9% each year. If the population continues to increase by the same percent each year, what do you anticipate the population of Kenturi to be in 2020?
9. At the end of 2014, the population of Henten, Wisconsin was 38,157. The population of Henten has been increasing by 1.7% each year. If the population continues to increase by the same percent each year, what do you anticipate the population of Henten to be in 2032?
10. At the end of 2014, the population of Houakev was 7,512. The population of Houakev has been increasing by 3.2% each year. If the population continues to increase by the same percent each year, what do you anticipate the population of Houakev to be in 2028?
Answers:
1. an=15-11n
2. an=-43-17n
3. an=23-9n
4. an=1652n-1
5. an=18.5(4)n-1
6. an=1232n-1
7. an=462n-1
8. ≈ 5,521
9. ≈ 51,683
10. ≈ 11,675