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Consider the quadratic pattern 5; 12; 29; 56; ...

  1. Write down the next two terms of the pattern
  2. Prove that the first differences of this pattern will always be odd
in Mathematics by Diamond (62,244 points) | 137 views

1 Answer

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1. find 1st and second differences and add in reverse order,

1st. 7, 17,27,37,47

2nd,  10,10,10,10,....

giving, 56+37=93

   and 93+47=140 , as the numbers

2. Its always ending in 7, therefore any divisions will result in an odd number.
by Diamond (42,470 points)
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