1 st 2 nd How can we complete

1 st 2 nd How can we complete the table? Shape Squares 1 st 3 2 nd 5 Two squares are added each time, but we start with three squares. +2 +2 3 rd 7 4 th 9 5 th 11 20 th 41 Without counting up, how can we calculate the number of squares in the 20 th shape?

1 st 2 nd 3 rd Shape Squares 1 st 3 2 nd 5 3 rd 7 4 th 9 5 th 11 20 th 41 The ‘nth term’ is 2 n + 1. We can use the nth term to generate sequences. How would we calculate the 100 th term?

1 st 2 nd 3 rd Shape Squares 1 st 3 2 nd 5 3 rd 7 4 th 9 5 th 11 20 th 41 The ‘nth term’ is 2 n + 1. How would we calculate the 100 th term?

1 st How can we complete the table? Shape 2 nd 3 rd Two squares are added each time, Squares but we start with 5 squares, not 2. 1 st 5 2 nd 7 +2 +2 3 rd 9 4 th 11 5 th 13 20 th 43 Without counting up, how can we calculate the number of squares in the 20 th shape?

1 st 2 nd 3 rd How can we complete the table? Shape Squares 1 st 5 2 nd 7 3 rd 9 4 th 11 5 th 13 20 th 43 The ‘nth term’ is 2 n + 3

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23 is the first term in this sequence •

42 is the fifth term in this sequence •

Title: Generating Sequences using the nth term Worked Example Your Turn • •

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