IB skill practice

Work with arithmetic sequences

Identify the common difference, build the nth-term rule, find a specified term, and calculate a finite arithmetic sum.

Paper 1 6 marks Difficulty 2

Arithmetic sequence terms and sum

The first three terms of an arithmetic sequence are \(0, 3, 6\). Find the common difference \(d\), write the nth-term rule \(u_n\), then calculate \(u_11\) and \(S_11\).

Worked practice: sequences and series

Find the common change or ratio, then use it to calculate the requested term or sum.