Mathematics 10 Number Sequences Review Oct. 27/09
Name
1. Be able to create sequences given an equation or a number of terms:

· Write the next three terms of 3, 12, 21 . . .


· Write the first four terms defined by 3n + 2





2. Be able to use the general term formula to generate terms: tn = a + (n – 1)d


· Given the sequence 4, 9, 14, . . . find t12.





· Given the sequence 7, -4, -15, . . . find tn and find t8.






3. Be able to find the term number given the value of the term.

· In the sequence –4, 2, 8, . . . a term is 332. Which term is it?







4. Be able to find arithmetic means.

· Insert three arithmetic means between –7 and 125.








5. Be able to add arithmetic series using Sn = n(a + tn) or Sn = n(2a + (n – 1)d)__
2 2
· Given the series 2 + 5 + 8 + . . ., find the sum of the first 10 terms.


· Determine the sum of 6 + 10 + 14 + . . . + 50.








6. Be able to use the general term formula to calculate terms in a geometric sequence. tn = arn-1

· Given the sequence 2, 6, 18, . . . find t5.







7. Be able to insert geometric means.

· Insert three geometric means between 10 and 6250.










8. Be able to calculate data in tables – investments and loan payments

· Calculate the amount of money Joan will have in the bank after 4 years if she invests $3000 at 6%/a and makes an extra payment of $200 each year.

Year		Interest Rate		Extra Payment

· Sara borrows $25000 from a bank at 5.5%/a. If her yearly payment is $5000, how long will it take her to pay off the loan? What would be the last payment?

Year		Interest Rate		Yearly Payment