Rules For Number Sequences Worksheet Page 2
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1
2Counting sequences from pictures
4 You can use unit squares to make a sequence of staircases. The first
three staircases are shown below.
1 square
3 squares
6 squares
(a) How many squares will there be in the next staircase?
th
(b) How many squares will there be in the n
staircase? Give
your answer in words and in symbols. Explain why it is
correct.
5 Each of these questions shows the first three terms of a sequence of
diagrams. In each questions you have to find and prove a formula
th
for the number of small shaded squares in the n
diagram.
(a)
(b)
(c)
(d)
(e)
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