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Omni-MATH / A sequence has 101 terms, each of which is a positive integer. If a term, n, is even, the next term is equal to (1)/(2)n+1. If a term, n, is odd, the next term is equal to …

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A sequence has 101 terms, each of which is a positive integer. If a term, nn, is even, the next term is equal to 12n+1\frac{1}{2}n+1. If a term, nn, is odd, the next term is equal to 12(n+1)\frac{1}{2}(n+1). If the first term is 16, what is the 101st term?
Plain-text mathematical notation (without MathML)
A sequence has 101 terms, each of which is a positive integer. If a term, n, is even, the next term is equal to (1)/(2)n+1. If a term, n, is odd, the next term is equal to (1)/(2)(n+1). If the first term is 16, what is the 101st term?
Original LaTeX notation
A sequence has 101 terms, each of which is a positive integer. If a term, $n$, is even, the next term is equal to $\frac{1}{2}n+1$. If a term, $n$, is odd, the next term is equal to $\frac{1}{2}(n+1)$. If the first term is 16, what is the 101st term?

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