Exam-Style Question on Sequences
A mathematics exam-style question with a worked solution that can be revealed gradually
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.
|Price per seat||£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.
The worked solutions to these exam-style questions are only available to those who have a Transum Subscription.
Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves.
This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures.
A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience.
Drag this panel down to reveal the solution
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.
©1997 - 2021 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/