SOLUTION: Use inductive reasoning to determine the next three numbers in the pattern: 3,12,26,45

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Question 176159: Use inductive reasoning to determine the next three numbers in the pattern:
3,12,26,45
Answer by Mathtut(3670) About Me  (Show Source):
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Just glancing at this the difference between 1 and 2 is 9 the difference between 2 and 3 is 14 and the difference between 3 and 4 is 19. It appears the are adding 5 to the difference between successive terms. Therefore the next number would have 24 added to it,which is 68, and the number following that would have 29 added to it,which is 97, and the final term of the NEXT three would have 34 added to it , which is 131.