Simple additions can lead to intriguing results…
Charlie has been adding fractions in the sequence 12,14,18,… where each fraction is half the previous one:
Work out the answers to Charlie’s sums. What do you notice?
Will the pattern continue?
How do you know?
Try writing an expression for
Could you convince someone else that your expression is correct for all values of n?
Charlie drew a diagram to try to explain what was going on (video).
Use Charlie’s diagram to explain why
Alison has been adding numbers in the sequence 1,2,4,8,… where each number is twice the previous one:
Work out the answers to Alison’s sums. What do you notice?
Will the pattern continue?
How do you know?
Try writing an expression for
Could you convince someone else that your expression is correct for all values of n?
Alison drew a diagram to try to explain what was going on (see video).
Can you use Alison’s diagram to explain why
Age 14 to 16
