Chapter 8: Series and finance Notes

Sections

1. 8A Applications of APs and GPs Mastered

   Using arithmetic and geometric sequences and series to model salaries, payments and sales, and using limiting sums for totals over an unlimited time.

   Open notes
2. 8B Using logarithms with GPs Mastered

   Solving exponential inequations from GP problems by taking logarithms, including the reversal of the inequality when dividing by the log of a number less than 1.

   Open notes
3. 8C Simple and compound interest Mastered

   Simple interest as an arithmetic sequence and linear function, compound interest as a geometric sequence and exponential function, compounding periods, comparing the two, and depreciation.

   Open notes
4. 8D Investing by regular instalments Mastered

   The future value of a superannuation fund or annuity with regular deposits, using both the accountant's method (summing each deposit's growth) and the recursive method.

   Open notes
5. 8E Paying off a loan Mastered

   Finding the balance owing on a reducible interest loan, the instalment needed to repay it in a given time, the total interest paid, and the number of instalments needed.

   Open notes
6. 8F Pensions and annuities Mastered

   Withdrawing a regular pension from a superannuation fund or annuity, finding the pension that runs the fund down to zero, and how long a fund will last.

   Open notes