Practice IB Mathematics Applications & Interpretation (AI) Topic SL 1.2—sequences and Sigma Notation with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 1.2—sequences and Sigma Notation and mirrors Paper 1, 2, 3 style where relevant.
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A swimmer follows a training plan. In the first three sessions, she swims 22 laps, 28 laps and 34 laps. She continues the same increase for 15 sessions.
(a) In session , she swims exactly 88 laps. the value of .
(b) the total number of laps swum in the 15 sessions.
A pyramid of stacked cubes is being built, with levels numbered downwards from the top. The first level has 10 cubes, the second level has 12 cubes, and each additional level contains 2 more cubes than the previous level. The organisers have 1500 cubes available.
(a) Find the number of cubes in the 10th level.
(c) the total number of cubes in the pyramid if it has 30 levels.
(d) the maximum number of complete levels that can be built with 1500 cubes.
A cyclist follows a training plan lasting 16 weeks in total. In the first three weeks, she cycles 14 km, 19 km and 24 km. Her weekly distance continues to increase by the same amount throughout the plan.
(b) the total distance cycled in the 16 weeks.
A charity shop records the number of bags donated on the first few days of a collection drive as follows: 3, 8, 6, 2, 9, 5, …
(a) Write down the values of and , where represents the number of bags donated on the first day and represents the total number of bags donated on the first day.
(b) Write down the values of and , where is the number of bags donated on the second day and represents the total number of bags donated in the first two days.
A student follows a reading challenge. In the first three days, she reads 18 pages, 24 pages and 30 pages. She continues the same increase for 14 days.
(b) the total number of pages read in the 14 days.
(b) the formula for the total number of cubes in the first levels.
(e) If each cube has a side length of m, the combined volume of all the cubes used when the maximum number of complete levels is built.
(a) In week , she cycles exactly 79 km. the value of .
(c) , the total number of bags donated in the first five days.
(a) On day , she reads exactly 60 pages. the value of .
