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\egin{cases} g( $1$ )= $14$ \ g(n)=g(n $-1$ ) $-4$ \end{cases}

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Estimate customary measurements

Full solution

Q. \egin{cases} g(

1

)=

14

\ g(n)=g(n

-1

)

-4

\end{cases}

Understand Recursive Function: First, we need to understand the recursive function given. The function $g(n)$ is defined such that $g(1) = 14$ , and for every $n > 1$ , $g(n) = g(n-1) - 4$ . We need to find the value of $g(5)$ .
Base Case: $g(1) = 14$ : We start with the base case given: $g(1) = 14$ .
Find $g(2)$ : To find $g(2)$ , we use the recursive formula $g(n) = g(n-1) - 4$ . So, $g(2) = g(1) - 4 = 14 - 4$ .
Calculate $g(2)$ : Calculating $g(2)$ , we get $g(2) = 14 - 4 = 10$ .
Find $g(3)$ : Next, we find $g(3)$ using the same recursive formula: $g(3) = g(2) - 4 = 10 - 4$ .
Calculate $g(3)$ : Calculating $g(3)$ , we get $g(3) = 10 - 4 = 6$ .
Find $g(4)$ : Now, we find $g(4)$ : $g(4) = g(3) - 4 = 6 - 4$ .
Calculate $g(4)$ : Calculating $g(4)$ , we get $g(4) = 6 - 4 = 2$ .
Find $g(5)$ : Finally, we find $g(5)$ : $g(5) = g(4) - 4 = 2 - 4$ .
Calculate $g(5)$ : Calculating $g(5)$ , we get $g(5) = 2 - 4 = -2$ .

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