# Exam-Style Question on Sequences

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 428. This question is similar to one that appeared on an IB AI Standard paper (specimen) for 2021. The use of a calculator is allowed.

A celebrity football match is planned to take place in a large stadium.

The most expensive tickets are in the first row. The ticket price for each row forms an arithmetic sequence. Prices for the first four rows are shown in the following table.

 Row number: Price per seat 1 2 3 4 £50 £48.50 £47 £45.50

(a) Write down the value of the common difference, $$d$$.

(b) Calculate the price of a ticket in the 19th row.

(c) Find the total cost of buying 5 tickets in each of the first 10 rows.

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If you need more practice try the self-checking interactive exercises called Arithmetic Sequences. If you are using a TI-Nspire CX calculator and you would like to see an example of how to generate a sequence see GDC Essentials.

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