Stage 8 - Q1 - 2 marks
Use a constant difference. Find the next two terms.
Hint
Subtract one term from the next to check the repeated difference.
Stage 8 - Q2 - 2 marks
Use a constant difference. Find the next two terms.
Hint
The constant difference is negative.
Stage 8 - Q3 - 2 marks
Use a constant difference. Find the next two terms.
Hint
Keep the fractions exact as you add.
Stage 8 - Q4 - 2 marks
Use a constant difference. Find the next two terms.
Hint
Use tenths to avoid rounding.
Stage 8 - Q5 - 2 marks
The first term is 4.5 and each step adds 1.2. Find the seventh term.
Hint
Count steps, not terms.
Stage 8 - Q6 - 2 marks
Term 3 is \(8\frac{1}{2}\) and term 7 is \(14\frac{1}{2}\) in a constant-difference sequence. Find the difference.
Hint
Divide the value change by the number of position steps.
Stage 8 - Q7 - 3 marks
An additive sequence has term 8 equal to 2 and difference \(\frac{-3}{4}\). Find its first term.
Hint
Reversing a subtraction requires addition.
Stage 8 - Q8 - 3 marks
A sequence starts at \(\frac{2}{5}\) and adds \(\frac{3}{5}\) each time. Is 8 a term? Explain.
Hint
A term must occur after a whole number of steps.
Stage 8 - Q9 - 4 marks
A sequence starts at 17 and subtracts 1.5 each time. Find the first term below zero and justify that it is the first.
Hint
Check the term immediately before your proposed first negative value.
Stage 8 - Q10 - 5 marks
Challenge: sequence A starts at 7 and adds 1.25 each step. Sequence B starts at 27 and subtracts 0.75 each step. At which shared position do their terms first match? Find that value.
Hint
Track the gap between the sequences after each step.