Given Recursive Sequence: We are given a recursive sequence for the function g(n) with the following initial conditions:g(1)=−5g(2)=3The recursive formula for g(n) is:g(n)=g(n−2)+g(n−1)We need to find the value of g(3).
Find g(3): To find g(3), we use the recursive formula and the initial conditions:g(3)=g(1)+g(2)We know that g(1)=−5 and g(2)=3, so we substitute these values into the equation:g(3)=(−5)+3
Calculation and Result: Now we perform the calculation:g(3)=−5+3g(3)=−2So, the value of g(3) is −2.
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