Calculating any term | Maths | Quizalize & Oak National Academy

Starter quiz

Which of these words is also used to describe an arithmetic sequence?
- Positive.
- Quadratic.
- Linear. ✓
- Geometric.
Which is the simplified version of $2 \times a + 5 \times b + 3$ ?
- $2a+5b+3$ ✓
- $7ab+3$
- $10ab$
- It is already in it's simplest form.
If $a=5$ and $b=7$ what is the value of the expression $2a+5b+3$ ?
- 25 + 57 + 3
- 85
- 42
- 48 ✓
When $n=5$ what is the term value?
- $T=5$
- $n=2$
- 2
- $T=11$ ✓
- +2
Evaluate the expression $70-3x$ when $x=50$ .
- -80 ✓
- 20
- -30
- -50
- 220
Given that $a=9$ . $b=-7$ . Put these expressions in order from lowest to highest value.
- 1
  
  ⇔
  
  $3b-5a$
- 2
  
  ⇔
  
  $5(a+3b)$
- 3
  
  ⇔
  
  $-5a-3b$
- 4
  
  ⇔
  
  $5a+3b$
- 5
  
  ⇔
  
  $5a-3b$

The $n^\text{th}$ term can be used to calculate any term in a sequence so we can call it a __________ for finding the $n^\text{th}$ term.
- equation
- formula ✓
- sequence
- term value
If the $n^\text{th}$ term is $3n+7$ what are the first five terms?
- 3, 10, 17, 24, 31, ...
- 7, 10, 13, 16, 19, ...
- 10, 17, 24, 31, 38, ...
- 10, 13, 16, 19, 22, ... ✓
What is the 5 $^\text{th}$ term of $0.3n + 0.07$ ?
- 0.37
- 1.57 ✓
- 2.2
- 1.75
- 5.37
What are the first five terms of $10-2n$ ?
- 10, 8, 6, 4, 2, ...
- 12, 10, 8, 6, 4, ...
- 8, 6, 4, 2, 0, ... ✓
- -2, -4, -6, -8, -10 ...
Order these term values from lowest to highest.
- 1
  
  ⇔
  
  The 50 $^\text{th}$ term of the sequence $2n-1$ .
- 2
  
  ⇔
  
  The 15 $^\text{th}$ term of the sequence $6n+10$ .
- 3
  
  ⇔
  
  The 101 $^\text{st}$ term of the sequence ${1 \over 2} n + 50$ .
- 4
  
  ⇔
  
  The 9 $^\text{th}$ term of the sequence $200-11n$ .
Which statements are true for the arithmetic sequence $1.25n-0.3$ ?
- The sequence contains the number 1.25
- The sequence contains the number 2.2 ✓
- The sequence goes down by 0.3 each time.
- The sequence goes up by 1.25 each time. ✓
- The sequence starts at 1.25-0.3 ✓

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That the sequence $3n+2$ starts with 3 and adds 2, or starts with 2 and adds 3.

Calculate the first few terms. Ask, \"When $n = 1$ what is the term value?\" This is the first value for our sequence.

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