Saturday, August 9, 2014

Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)







Every term has a '1' in its expression. So the nth term will also have '1' as the beginning value.


When we consider the part after '1+'......





etc....


We can see numerator is 1 less than denominator.


When we consider denominator;





etc....


So the denominator of the...







Every term has a '1' in its expression. So the nth term will also have '1' as the beginning value.


When we consider the part after '1+'......





etc....


We can see numerator is 1 less than denominator.


When we consider denominator;





etc....


So the denominator of the nth term will be .


Then the numerator will be



Finally the nth term will look like;


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