Generating a sequence using a position-to-term rule | Maths

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Maths

Sequences

Starter quiz

A term-to term rule describes how to calculate the next term from....
- the constant additive rule
- the multiplier
- the previous term ✓
- the term number
True or false. In the sequence 0, 1, 2, 3, 4, ... the 2nd term is 3.
- True- the third number is '2'
- False- The second number is not '3' ✓
- There is no way of knowing without the term-to-term rule
If the 7 times table start with $1\times 7 = 7$ what is the 100th number in the 7 times table?
- '700' ✓
Here are the first 3 terms in a pictorial sequence. Which of these rules could refer to the number of lines in each term?
- add 2 to the previous term to get the next term
- add 3 to the previous term to get the next term ✓
- add 5 to the previous term to get the next term
- there are 3 lines per section plus 2 for the base. ✓
- there are 5 lines per section
Which of these is an advantage for using a term-to-term rule
- They are easy to use to find the next term in a sequence ✓
- They are easy to use to find any term in a sequence
- They work for all sequences where there is a rule between successive terms ✓
- They are unique, the same rule will always produce the same sequence.
- There is only one term-to-term rule that will work if you know the first 3 term.
Match the sequences with the term-to-term rules.
- -2, -6, -18, -54, ...
  
  ⇔
  
  multiply the previous term by 3 ✓
- -2, -6, -10, -14, ...
  
  ⇔
  
  add $-4$ to the previous term ✓
- -2, -6, -14, -30, ...
  
  ⇔
  
  multiply the previous term by 2 then subtract 2 ✓
- -2, -6, -12, -20, ...
  
  ⇔
  
  add $-4$ , add $-6$ , add $-8$ , ... ✓
- -2, -6, -14, -26, ...
  
  ⇔
  
  add $-4$ , add $-8$ , add $-12$ , ... ✓
- -2, -6, -8, -8, ...
  
  ⇔
  
  add $-4$ , add $-2$ , add 0, ... ✓