For the infinite series \(a_1, a_2,\ldots , a_n, a_n=a_{n-1}+n,\) and \(a_1=1.\) If \(n>4,\) is \(a_n\) an odd integer?

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For the infinite series \(a_1, a_2,\ldots , a_n, a_n=a_{n-1}+n,\) and \(a_1=1.\) If \(n>4,\) is \(a_n\) an odd integer?

(1) \(a_{n-1}\) is even.

(2) \(a_{n-4}\) is odd.

Answer: B

Source: Veritas Prep
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