This task is about writing whole numbers in index form and solving maths problems involving powers.
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Great grand-father Fraser |
a) Mr Fraser had 5 sons.
- i) Each of his sons also had 5 sons (Mr Fraser's grandsons).
- ii) Each of those sons had 5 sons (Mr Fraser's great-grandsons).
b) Complete the table below to show how many grandsons and great-grandsons Mr Fraser had:
- i) as a whole number; and
- ii) in index form.
|
Generation |
Number |
Number |
|
Mr Fraser's sons |
5 |
51 |
|
a) Mr Fraser's grandsons |
i) |
ii) |
|
b) Mr Fraser's great-grandsons |
i) |
ii) |
|
c) |
If this trend continued, show how many great-great-grandsons Mr Fraser would have.
(Write your answer as a whole number.)
|