f(X)= 2X-1 + f(X-1) if X is not equal to zeroandiff(X=0)=0, Value of f(16)+f(15)-480
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Answer Posted / Tara Singh Meena
To find the value of f(16)+f(15)-480, we can first use the given recurrence relation for each term: f(16) = 2*16 - 1 + f(15), and f(15) = 2*15 - 1 + f(14). Now, by substituting the expression for f(15) into the equation for f(16), we get a recurrence relation for f(14): f(14) = 2*14 - 1 + (2*16 - 1 + f(13)). Continuing this process, we can find an expression for f(14) in terms of earlier terms. Finally, adding f(16) and subtracting 480 gives us the final result.
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