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Mathematics Brain Teaser

A. Guess the next few terms for the following sequences:

Note: The problems are of varying complexity!

i.                   1, 2, 4, 8, . . .

ii.                1, 2, 4, 7, . . .

iii.              O, T, T, F, F, . . .

iv.              M, T, W, T, . . .

v.                 3, 3, 5, 4, . . .

B. Construct numbers by adding any string of two or more consecutive whole numbers.

    For example, 1+2=3, 1+2+3=6, 2+3=5, 4+5+6+7+8=30, etc.

i.                   Can one generate any whole number using this procedure?

ii.                If not, can you determine which numbers can be generated and which cannot?

iii.              Can you explain or justify your answers?

C. [Difficult !?] What is the next and final term in the sequence:

If you would like to find out the answers to any of the above 'teasers', please contact Mr Dholakia in the maths department: ndholakia@capitalcityacademy.org

Good luck!!

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