Patterning And Algebra Page 3

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Patterning and Algebra
2007/2008 Circle 3 Problem 2
Solution
The first five multiples of 99 are 99, 198, 297, 396, 495. Thus the place value patterns are:
• the ones digit decreases by 1 with each multiple;
• the tens digit remains 9 in each multiple;
• the hundreds digit increases by 1 with each multiple.
Hence the next four multiples are 594, 693, 792, and 891.
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