# Achievement Objectives

## Achieve

Solve straightforward problems involving sequences.

Assessment will be based on problems which may require a selection from the following:

·        find general terms of an arithmetic sequence

·        find general terms of a geometric sequence

·        find partial sums of an arithmetic sequence

·        find partial sums of a geometric sequence

·        find sum to infinity of a geometric sequence

·        use S notation

·        use recursive formulae.

Straightforward problems will involve recognising the type of sequence, selecting the method, and solving problems where ‘a’ and ‘d’ or ‘r’ are easily identified.

## Merit

Solve problems involving sequences.

Problems could require some manipulation to find ‘a’, ‘d’ or ‘r’.

Applications may include: radio-active decay,
% increase/decrease, such as compound interest
results of an experiment which form a sequence, eg pendulum.

## Excellence

Explore situations and interpret the results of problems involving sequences.

Situations and interpretations could include:

discussing long-term effects, comparing sequences.