Here are the first three patterns in a sequence made using dots and lines. [Figure of Pattern 1, Pattern 2, Pattern 3]
- (a)Complete the table for the first five patterns in this sequence. [Table with Pattern number, Number of dots, Number of lines][2]
- (b)Find an expression, in terms of n, for the number of lines in Pattern n.[2]
- (c)Anwar makes one of these patterns using 92 lines. Find the number of dots in Anwar's pattern.[2]
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Mark scheme
Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.
- [2] (a) 9 12 15 12 17 22
- [B1] for one row correct
- [2] (b) 5n - 3 oe final answer
- [B1] for 5n + k oe seen
- [2] (c) 57
- [M1] for their (5n – 3) = 92
- [B1] or for n = 19 soi or for answer 19
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