Starter quiz
- Which of these are square numbers?
- 8
- 14
- 16 ✓
- 26
- 81 ✓
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- Which of these are cube numbers?
- 25
- 30
- 47
- 64 ✓
- 100
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- Which of these are triangular numbers?
- 10 ✓
- 16
- 22
- 55 ✓
- 66 ✓
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- Which of these is the term rule for the linear sequence 6, 10, 14, 18, ...?
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-
- ✓
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- Sam draws a graph of this geometric sequence. Which of these coordinates should Sam plot?
- (1, 5)
- (2, 15) ✓
- (3, 1)
- (3, 15)
- (4, 375) ✓
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- Andeep plots the graph of the equation . When the coordinate is , the coordinate is ______.
- '25' ✓
Exit quiz
- The sequence with term is graphed in the diagram. Is 40 a term in the sequence?
- yes ✓
- no
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- The 4th term in the sequence is ______. Use Desmos or the diagram to help you.
- '375' ✓
- Is the number 654 in the sequence with term rule ? Use Desmos or the diagram to help you.
- Yes, because the two graphs intersect.
- Yes, because is an integer.
- No, because the graphs do not intersect at an integer value. ✓
- No, because 654 is not on the curve with equation .
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- Why does this diagram not represent the sequence of all square numbers in ascending order?
- The sequence has integer term numbers so the curve should not be drawn. ✓
- This should be a linear graph not a curve.
- The axis scale is double the scale on the axis.
- The square numbers are not on the curve.
- Sequences start when is 1 so there should not be coordinates when . ✓
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- This graph shows the sequence of triangular numbers and the sequence (the line and curve are drawn to help you). Which of these statements are true?
- The number 1 is in both sequences.
- The number 20 is in both sequences.
- The number 28 is in both sequences. ✓
- The 6th term in both sequences is the same.
- The 8th term in both sequences are the same. ✓
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- Which is the correct term rule for the geometric sequence which starts 1, 2, 4, 8, 16, ...?
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- ✓
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Worksheet
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Presentation
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Lesson Details
Key learning points
- Visual representations of a sequence can help with identification.
- Special number sequences can produce interesting graphs.
Common misconception
Pupils may think that given a graph is continuous, the sequence can contain all of the values represented by the line.
It is important that pupils know when it is appropriate to draw a line to graph sequences and whether values on the line have any meaning. Sequences are often given as a list of terms and without context we cannot assume the sequence is continuous.
Keywords
Triangular number - A triangular number (or triangle number) is a number that can be represented by a pattern of dots arranged into a triangle.
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