IB skill practice

Calculate arithmetic and geometric series

Choose and apply finite arithmetic and geometric series formulae, showing clear reasoning about the structure of the sequence.

Paper 1 5 marks Difficulty 3

Finite geometric series

A geometric sequence begins \(-3, 9, -27, \ldots\). Calculate the sum of the first \(6\) terms. State the common ratio \(r\) and the value of \(S_6\).

Worked practice: sequences and series

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