Question 4

Samantha is investigating a pattern of dots represented in the diagram below.

4.1 Write down:

4.1.1 The number of dots in the 4^th pattern (1)

4.1.2 The number of dots in the 13 ^th pattern (1)

4.1.3 A formula for the number of dots in the n^th pattern (1)

4.2 Hence, or otherwise, calculate the value of:

1 + 3+5+…+43 (3)

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