Expressing an arithmetic sequence | Maths | Quizalize & Oak National Academy

Starter quiz

In sequences, a position-to-term rule describes what?
- How to generate the term from the term number ✓
- How many terms there are in a sequence
- How many positions there are in a sequence
Multiplying $x$ by 4 and subtracting 7 is most simply written as which expression?
- $x \times 4 - 7$
- $x \times -7 + 4$
- $4 + x - 7$
- $4x - 7$ ✓
Which position-to-term rule satisfies this sequence?
- Add 3 each time.
- Starts at 1 and counts up in 3.
- Multiply by 3 and add 1
- Multiply by 3 and subtract 2 ✓
Which position-to-term rule links the pattern number to the number of squares?
- Multiply the pattern number by 4.
- Multiply the pattern number by 3 then add 1. ✓
- Add 3 to the pattern number.
- Multiply the pattern number by 3 then subtract 1.
For the arithmetic sequence starting 1, 4, 7, 10, 13, ... the position-to-term rule is 'multiply by 3 and subtract 2'. What therefore, is the 100 $^\text{th}$ term?
- 300
- 302
- 298 ✓
- 98
Substitute the value $a=6$ into the below expressions. Order the value of the expressions from highest to lowest.
- 1
  
  ⇔
  
  $3a-7$
- 2
  
  ⇔
  
  $2a-3$
- 3
  
  ⇔
  
  $7-a$
- 4
  
  ⇔
  
  $17-3a$

The $n^\text{th}$ term of a sequence is the position of a term in a sequence where $n$ stands for the term ______.
- 'number' ✓
In sequences $n=20$ means what?
- 20 is in our sequence.
- The sequence goes up 20 each term.
- The 20 $^\text{th}$ term number. ✓
- The sequence is our 20 times table.
In this sequence when $n=4$ what is the term value?
- 4
- 10 ✓
- 7
- 1
- 13
In this sequence when $T=4$ what is the term number?
- $n=4$
- $n=2$ ✓
- $n=5$
- $T=2$
- $T=5$
What general rule links pattern number ( $n$ ) to number of squares ( $T$ ) in this case?
- $T = n \times 4 + 3$ ✓
- $T = n + 4$
- $T = n \times 4 - 1$
- $T = n + 3$
What general rule links pattern number ( $n$ ) to the perimeter of each shape?
- $+2$
- $n + 2$
- $12, 14, 16,\;$ ...
- $n \times 4$
- $n \times 2 + 10$ ✓

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That $n$ is a term in the sequence. That $n=10$ means 10 is in the sequence.

Reiterate that $n$ is the term number. \" $n=10$ means the 10th term. What is the 10th term number?\

N^th term - The n^th term of a sequence is the position of a term in a sequence where n stands for the term number.