Given initial condition and recursive formula: We are given the initial condition and the recursive formula for the sequence:g(1)=50g(n)=8−g(n−1)To find g(2), we will use the recursive formula with n=2.
Substituting n=2 into the recursive formula: Substitute n=2 into the recursive formula:g(2)=8−g(2−1)g(2)=8−g(1)Since we know g(1)=50, we can substitute that value in:g(2)=8−50
Substituting g(1) into the equation: Perform the subtraction to find g(2):g(2)=8−50g(2)=−42
Performing the subtraction: We have found the value of g(2):g(2)=−42
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