Moderate -0.5 This is a straightforward group theory question requiring only checking which element generates the cyclic group by computing powers modulo 17. While it's a Further Maths topic (making it inherently more advanced), it's a 1-mark multiple choice question testing basic understanding of generators with minimal computation required, making it easier than average overall.
2 The set \(\{ 1,2,4,8,9,13,15,16 \}\) forms a group under the operation of multiplication modulo 17.
Which of the following is a generator of the group?
Circle your answer. [0pt]
[1 mark]
491316
2 The set $\{ 1,2,4,8,9,13,15,16 \}$ forms a group under the operation of multiplication modulo 17.
Which of the following is a generator of the group?
Circle your answer.\\[0pt]
[1 mark]
491316
\hfill \mbox{\textit{AQA Further Paper 3 Discrete Q2 [1]}}