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MMLU-Pro / 8934 / suppose the sequence a_n satisfies …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

suppose the sequence a_n satisfies limn→∞an∑i=1nai2=1lim_{n\rightarrow\infty}a_n\sum_{i=1}^n a_i^2=1. What is the limit of 3n(a_n)^3?
Plain-text mathematical notation (without MathML)
suppose the sequence a_n satisfies lim_(n→∞)a_(n)∑_(i=1)^(n)a_(i)²=1. What is the limit of  3n(a_n)^3?
Original LaTeX notation
suppose the sequence a_n satisfies $lim_{n\rightarrow\infty}a_n\sum_{i=1}^n a_i^2=1$. What is the limit of  3n(a_n)^3?

category

math

options

  1. 3.0
  2. n^2
  3. -1.0
  4. Undefined
  5. 1.0
  6. 0.0
  7. -Infinity
  8. Infinity
  9. 2.718 (e, the base of natural logarithms)
  10. 1/n

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8934
task_id
f630d478-c9b8-50bb-a4d3-a8b1188db58a
task_key
default--test--8934
task_revision_id
1
config / split
default / test

Official source

initial import