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Investigations N1/L1.6 CONSECUTIVE NUMBERS Take 3 consecutive numbers, for example, 2, 3, 4 a) find the square of the middle number (3 x 3 = 9) b) multiply the first and third numbers together (2 x 4 = 8) c) find the difference between the 2 answers (9 - 8 = 1) Try this for several sets of consecutive numbers, including 2 digit numbers eg 21, 22, 23, and then draw up a table to show your results. You could use headings such as: Numbers used Middle number squared 1st x 3rd Difference What do you notice? Now try doing the same with numbers which are: a) 2 apart eg 2, 4, 6 b) 5 apart eg 5, 10, 15 c) 10 apart eg 10, 20, 30 In each case try about 5 examples at least and draw up a table of your findings. This time you could include a column called: Gap between numbers Can you find a regular pattern? Try describing the pattern in words. Discuss your work with your tutor and decide what you need to work on next. 1