# MATH-KAL

## MATH-TEACHER Educational Software

### Math at your own pace

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### Sequences

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