Modelling geometric growth and decay
Chapter 3.1 - 3.4
Chapter 3.1 - 3.4
Apply a geometric recurrence relation to model geometric growth for compound interest
Apply a geometric recurrence relation to model geometric decay for reducing-balance depreciation
relate compound interest to a recurrence relation
relate reducing-balance depreciation to recurrence relation
graph geometric recurrence relations for compound interest and reducing-balance depreciation
Prior Knowledge:
Know what a sequence is
Know what a first-order recurrence relation is
Generate the terms of a first-order recurrence relation
Recognise arithmetic sequences and the evaluation of an arithmetic and geometric sequence
Key Vocabulary:
growth
decay
compound interest (interest, principal, interest rate, time, periods,amount,per annum)
times (annually, yearly=1 quarterly=4, monthly=12, fortnightly=26, weekly=52)
reducing-balance depreciation (future value, written off, fixed amount, interval, cost price)
Ex 3.3 Qu 10, 11, 15-18, 20 - 26 (compound interest, population growth, depreciation)
Ex 3.4 Qu 3, 6, 7, 13 ,15, 16 (compound interest)
Chapter 3 practice questions 2, 5, 16, 21, 26, 29, 32, 33, 35