IB Maths AA SL AA 1.1 Sequences and series questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

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Question 1

Paper 2, calculatorMedium6 marks

A small venue records its ticket sales over five weeks.

Week12345
Tickets sold420458491530563

The sales do not form an exact arithmetic sequence. An arithmetic model is used, with its first and fifth terms matching the recorded sales for weeks 1 and 5.

(a)

Determine the common difference of this model.

[1]
(b)

Hence estimate the number of tickets sold in week 9.

[2]
(c)

State the first term and common difference of your model. Write the model’s total predicted ticket sales for weeks 1 to 9 in sigma notation, and determine this total. You may use your GDC.

[2]
(d)

Give one reason why the model’s estimate for week 9 may differ from the actual number of tickets sold.

[1]

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