Subject 1: Explicit definition of a sequence as a function of n.
- Level 1 : Calculate a 9 in a given sequence
- Level 2 : Express a n-3 in terms of n
- Level 3 : Find the location of a given term
Subject 2: Recursive definition of a sequence.
- Level 1 : Calculate a 2 , a 3 , .. , a 6
- Level 2 : Calculate a 8 given a 10
- Level 3 : Express a n+5 in terms of a n+4
- Level 4 : Express a n+3 in terms of a n+1
Subject 3: Arithmetic progression.
- Level 1 : Calculate a n by a 1 and d
- Level 2 : Calculate a n by a 3 and d
- Level 3 : Calculate a n by a 3 and a 12
- Level 4 : Find two successive terms whose sum is 172
- Level 5 : Find n such that a n is greater than a 7 by 66
- Level 6 : Insert a sequence between two numbers
- Level 7 : Calculate S k+3 , S n+2 by a 1 and d
- Level 8 : Calculate the sum a 12 + a 13 + ... + a n
Subject 4: Geometric progression.
- Level 1 : Calculate a n by q and a 1
- Level 2 : Calculate a n by q and a 5
- Level 3 : Calculate a 1 and q by a n and a m
- Level 4 : Find three consecutive terms
- Level 5 : Insert a sequence between two numbers
- Level 6 : Exponential growth and decay
- Level 7 : Calculate S n by q and a 1
