Securing understanding of arithmetic sequences | Maths

Starter quiz

The arithmetic (linear) sequence 17, 21, 25, 29, 33, ... has a(n) _________ of +4.
- $n^{\text{th}}$ term
- $1^{\text{st}}$ term
- common difference ✓
- multiplier
Which of these sequences are arithmetic?
- 2, 6, 10, 14, ... ✓
- 2, 7, 12, 17, ... ✓
- 2, 8, 15, 23, ...
- 2, 4, 8, 16, ...
- 2, -1, -4, -7, ... ✓
Match the $n^{\text{th}}$ term to the first five terms of each sequence.
- $3n+2$
  
  ⇔
  
  $5, 8, 11, 14, 17, ...$ ✓
- $2n+3$
  
  ⇔
  
  $5, 7, 9, 11, 13, ...$ ✓
- $6n-1$
  
  ⇔
  
  $5, 11, 17, 23, 29, ...$ ✓
- $6-n$
  
  ⇔
  
  $5, 4, 3, 2, 1, ...$ ✓
- $5+n$
  
  ⇔
  
  $6, 7, 8, 9, 10, ...$ ✓
- $1-6n$
  
  ⇔
  
  $-5, -11, -17, -23, -29, ...$ ✓
The solution to the two-step equation $8x-13=83$ is $x=$ ______
- '12' ✓
Which is true of the solution to the equation $3x-10=3$
- It is a positive integer.
- It is a negative integer.
- It is non-integer. ✓
- It has no solution.
$8, 13, 18, 23, 28, ...$ are the first five terms of which sequence?
- $8n+5$
- $5n+8$
- $5n+3$ ✓
- $5n-3$