Using mathematical induction show that 5 + 2 + 5 + 8 + ... + (3n-1) = | Discrete Structures 2081

Discrete Structures20815 marksmathematical Induction

Using mathematical induction show that $5 + 2 + 5 + 8 + ... + (3n-1) = \frac{n(3n+1)}{2}$ [5]

$5 + 2 + 5 + 8 + \cdots + (3n - 1) = \frac{n(3n+1)}{2}$ Note: The series begins with the term for $n=1$ : when $n=1$ , $3(1)-1 = 2$ . The leading "5" in the problem statement appears to be a typographical artifact. The series is $2, 5, 8, \ldots, (3n-1)$ , which is an arithmetic progression with fi...

$$5 + 2 + 5 + 8 + \cdots + (3n - 1) = \frac{n(3n+1)}{2}$$ Note: The series begins with the term for $n=1$: when $n=1$, $3(1)-1 = 2$. The leading "5" in the problem statement appears to be a typographical artifact. The series is $2, 5, 8, \ldots, (3n-1)$, which is an arithmetic progression with fi...

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Using mathematical induction show that 5 + 2 + 5 + 8 + ... + (3n-1) = fracn(3n+1)2