Exam-Style Question on Sequences
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 131. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.
The diagrams below show a sequence of patterns made from red and yellow tiles.
(a) Find an ex
The total number of red and yellow tiles in each pattern is always the sum of the squares of two consecutive whole numbers.
(b) Find an ex
(c) Is there a pattern for which the total number of tiles is 303? Give a reason for your answer.
(d) Explain why the total number of tiles in any pattern of this sequence is always an odd number.
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
©1997 - 2022 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/