Unit 1: Number and Algebra

Topic 1.2: Arithmetic Sequences and Series Questions

Practice 20 exam-style questions for IB Math AI SL Topic 1.2. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.

1evaluate2 marks
Evaluate 5 n=1 (n + 2).
Markscheme and model answer locked
Unlock Question
2evaluate2 marks
Evaluate 5 n=2 (2n + 1).
Markscheme and model answer locked
Unlock Question
3explain2 marks
A student says that 3, 6, 12, 24, ... is arithmetic because it increases each time.
Markscheme and model answer locked
Unlock Question
4find3 marks
A gym fee is 40 dollars in week 1, 45 dollars in week 2, 50 dollars in week 3, and so on.
Markscheme and model answer locked
Unlock Question
5identify1 mark
Which formula is best for finding the total of the first n terms of an arithmetic series?
Markscheme and model answer locked
Unlock Question
6explain2 marks
A student says a real-life data set must have exactly equal differences before you can use an arithmetic model.
Markscheme and model answer locked
Unlock Question
7find3 marks
A plant grows 6 cm in week 1, 9 cm in week 2, 12 cm in week 3, and so on.
Markscheme and model answer locked
Unlock Question
8identify1 mark
What formula can be used to find the sum of the first n terms of an arithmetic series?
Markscheme and model answer locked
Unlock Question
9identify3 marks
An arithmetic sequence has first term 12, common difference 5, and 18 terms.
Markscheme and model answer locked
Unlock Question
10identify1 mark
Which of the following is an arithmetic sequence?
Markscheme and model answer locked
Unlock Question
11find1 mark
What is the common difference of 30, 24, 18, 12, ...?
Markscheme and model answer locked
Unlock Question
12find3 marks
A club records the number joining each week as 16, 20, 24, 28, ...
Markscheme and model answer locked
Unlock Question
13find3 marks
A sequence starts 7, 11, 15, 19, ...
Markscheme and model answer locked
Unlock Question
14identify1 mark
Why might you find the last term first before summing an arithmetic series?
Markscheme and model answer locked
Unlock Question
15calculate4 marks
The arithmetic sequence is 3, 7, 11, 15, ...
Markscheme and model answer locked
Unlock Question
16explain2 marks
Explain in words what 4 n=1 (n + 1) means.
Markscheme and model answer locked
Unlock Question
17calculate3 marks
A factory makes 260 boxes on day 1 and 15 more boxes each following day.
Markscheme and model answer locked
Unlock Question
18identify1 mark
Which of the following is a series?
Markscheme and model answer locked
Unlock Question
19calculate2 marks
The first 6 terms of an arithmetic sequence are 9, 12, 15, 18, 21, 24.
Markscheme and model answer locked
Unlock Question
20evaluate2 marks
Evaluate 7 n=3 (n − 2).
Markscheme and model answer locked
Unlock Question

Ready to practice Topic 1.2?

Get instant AI feedback on your answers, view detailed markschemes, and track your progress across all IB Math AI SL topics.