Prolog - Sum up “positioned” elem in list?

This looks like homework, so I'll just give you a nudge in the right direction. The problem is really two separate problems: filter and sum. Solve these separately, and implement odd by composing the solutions.

The sum of 'odd-positioned' elements can be found by the following; where lists are indexed from 0: odd_sum_nth0(_,X|Y, Sum) :- odd_sum_aux(Y, X, Sum). Else, were lists are indexed from 1: odd_sum_nth1(X|Y, Sum) :- odd_sum_aux(Y, X, Sum). Given: odd_sum_aux(_, W|X, Y, Sum) :-!

, Z is W + Y, odd_sum_aux(X, Z, Sum). Odd_sum_aux(_, Sum, Sum). Caveat emptor.

;-).

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