SOLUTION: multiply any two consecutive numbers,then add the bigger number. use at least three examples.
a) make a conjecture
b) prove your conjecture
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-> SOLUTION: multiply any two consecutive numbers,then add the bigger number. use at least three examples.
a) make a conjecture
b) prove your conjecture
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Question 1072494: multiply any two consecutive numbers,then add the bigger number. use at least three examples.
a) make a conjecture
b) prove your conjecture Answer by Theo(13342) (Show Source):
it appears that, if you multiply two consecutive numbers and then add the larger of the two, you will get the same result as if you squared the larger number.
this can be shown algebraically as follows:
a * (a + 1) + (a + 1) = a^2 + a + a + 1 = a^2 + 2a + 1.
