ACMMM071
establish and use the formula for the sum of the first n terms of an arithmetic sequence.
ACMMM071 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM068
recognise and use the recursive definition of an arithmetic sequence: tn+1=tn+d
ACMMM068 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM072
recognise and use the recursive definition of a geometric sequence:tn+1=rtn
ACMMM072 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM073
use the formula tn=rn−1t1 for the general term of a geometric sequence and recognise its exponential nature
ACMMM073 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM075
establish and use the formula Sn=t1rn−1r−1 for the sum of the first n terms of a geometric sequence
ACMMM075 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM069
use the formula tn=t1+(n−1)d for the general term of an arithmetic sequence and recognise its linear nature
ACMMM069 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM074
understand the limiting behaviour as n→∞ of the terms tn in a geometric sequence and its dependence on the value of the common ratio r
ACMMM074 | Content Descriptions | Unit 2 | Mathematical Methods | Mathematics | Senior secondary curriculum