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These are the Transum resources related to the statement: "Understand and work with geometric sequences and series, including the formulae for the n^{th} term and the sum of a finite geometric series; the sum to infinity of a convergent geometric series, including the use of |r| < 1; modulus notation".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this statement:

- "
*The diagrams above show a growing fractal of triangles. The sides of the largest equilateral triangle in each diagram are of length 1 metre.*" ... more - "
*A square is drawn with sides of length 32 cm. The midpoints of the sides of this square are joined to form a new square and four red triangles. The process is repeated to produce yellow triangles and then again to produce blue triangles.*" ... more - "
*The first term of an infinite geometric sequence is 10. The sum of the infinite sequence is 500.*" ... more - "
*In a geometric series the common ratio is \(r\) and sum to \(n\) terms is \(S_n\).*" ... more - "
*Chris checks his Twitter account and notices that he received a tweet at 8:00am. At 8:05am he forwards the tweet to four people. Five minutes later, those four people each forward the tweet to four new people. Assume this pattern continues and each time the tweet is sent to people who have not received it before.*" ... more

Click on a topic below for suggested lesson starters, resources and activities from Transum.

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