Lemma
MediumSequences & series
AQuA-RAT train #1621 · Algebra · Sequences & series

For positive integers n, the integer part of the nth term of…

For positive integers n, the integer part of the nth term of sequence F equals n, while the infinite decimal part of the nth term is constructed in order out of the consecutive positive multiples of n, beginning with 2n. For instance, F_1 = 1.2345678…, while F_2 = 2.4681012… The sum of the first seven terms of sequence F is between:

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AQuA-RAT — Algebra Question Answering with Rationales (Ling et al., DeepMind, 2017) · train #1621

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