Ononot — Consider the recurrence T(n) = T(n-1) + T(n-2) + \dots + T(1

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Recursionhard

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Consider the recurrence $T(n) = T(n-1) + T(n-2) + \dots + T(1) + 1$ with $T(1) = 1$ . Determine the closed-form expression for $T(n)$ for $n \geq 1$ .