Representing sequences graphically | Maths | Quizalize & Oak National Academy

Starter quiz

An arithmetic (linear) sequence has a __________ difference.
- constant ✓
- variable
- unknown
- positive
Which two pairs of coordinates are shown here?
- $(1,2)$ and $(2,4)$
- $(1,2)$ and $(4,2)$
- $(2,1)$ and $(2,4)$
- $(2,1)$ and $(4,2)$ ✓
Match the letters with the correctly plotted coordinates.
- A
  
  ⇔
  
  $(1,4)$ ✓
- B
  
  ⇔
  
  $(4,1)$ ✓
- C
  
  ⇔
  
  $(4,-1)$ ✓
- D
  
  ⇔
  
  $(1,-4)$ ✓
Which of these are true for this sequence?
- When $n=1, T=3$ ✓
- When $n=5, T=2$
- When $n=3, T=7$ ✓
- When $n=5, T=5$
- When $n=5, T=11$ ✓
Match the sequences with the common difference.
- 1, 8, 15, 22, ...
  
  ⇔
  
  +7 ✓
- 1, -6, -13, -20, ...
  
  ⇔
  
  -7 ✓
- 36, 30, 24, 18, ...
  
  ⇔
  
  -6 ✓
- -39, -33, -27, -21, ...
  
  ⇔
  
  +6 ✓
- 0, 3, 7, 12, ...
  
  ⇔
  
  No common difference ✓
- -17, -9, -1, 7, ...
  
  ⇔
  
  +8 ✓
What is true of this set of coordinates?
- The $x$ coordinate is always double the $y$ coordinate.
- The $y$ coordinate is always double the $x$ coordinate. ✓
- The $y$ coordinate is always two more than the $x$ coordinate.
- As the $x$ coordinate increases by 1, $y$ increases by 2 ✓

When you plot an arithmetic sequence graphically the coordinates form a straight line, hence they are also known as __________ sequences.
- additive
- linear ✓
- straight
- common difference
If you completed this table of values before plotting the arithmetic sequence $2n-7$ which values would you put in the 'Term value' places?
- -5, -3, -1, 1, 3 ✓
- -2, 5, 12, 19, 26
- -7, -5, -3, -1, 1
- -7, -9, -11, -13, -15
- -5, -7, -9, -11, -13
This is a table of values for the sequence $4n-11$ . If you were going to graph this sequence which of these coordinates are correct?
- (2,-3) ✓
- (-3,2)
- (4,5) ✓
- (5,4)
- (5,9) ✓
Which sequence is represented by this graph?
- $7-3n$ ✓
- $4-3n$
- $3n+4$
- $-5+3n$
This structure represents which sequence?
- $3+5n$
- $3n+5$ ✓
- $(5+3)n$
- $5+3n$ ✓
- $5n+3$
The sequence $3n$ is translated by +6 in the vertical direction. What sequence is now shown?
- $n+6$
- $6n$
- $6n+3$
- $3n+6$ ✓
- $9n$

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When plotting sequences, a line must be drawn through the points.

Plot (1,5), (2,10), (3,15), draw a line and find other coordinates. When n = 1.5 the term value is 7.5. Is 7.5 in the sequence 5n??

Arithmetic sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.