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Consider the recurring number 3.333333…….. a) Write this number as the sum of n terms of...

Consider the recurring number 3.333333……..
a) Write this number as the sum of n terms of a certain sequence.
b) Define this sequence and then find the limit of this sum when n→∞
c) Write the initial number in the fraction form.
d) Does that match with the result in question b?

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