Sequences & Series

Topic overview

Arithmetic and geometric sequences, recurrence relations, introduction to limits

Discontinued; only retained for training on the final historical syllabus scope, and is not a current entrance examination.

Key points

◆Follow the prerequisite knowledge requirements given by the examination body; new concepts may only be used when the question provides sufficient guidance.
◆The examples on this site are training with a limited scope and do not represent full syllabus coverage or official difficulty.

Try each example yourself before checking the explanation.

1Basic examples within scope

The sum $\displaystyle\sum_{r=1}^{n} r \cdot 2^r$ equals:

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