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Questions › JNU › JNU SIS 2020 › Q7
0 marksMathematics › Sequences, series and convergence › Convergence of seriesEasyabout 1 min

JNU SIS 2020 Question 7: Sequences, series and convergence

Does the sequence ∑n=0∞n76n\sum_{n=0}^{\infty} \dfrac{n^{7}}{6^{n}}∑n=0∞​6nn7​ converge or diverge ?

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Plain-text version

Does the sequence Σₙ₌₀^∞ n⁷/6ⁿ converge or diverge? (A) Always converges (B) Always diverges (C) Converges for some values of n and diverges for others (D) Not enough information to answer the question

Also written as: Does the sequence sum_(n=0)^(inf) n^7/6^n converge or diverge?

Sequences, series and convergence has come up 33 times in 5 exams since 2006.

What this question tests

This question is on Convergence of series, part of Sequences, series and convergence in Mathematics.

Tests for whether an infinite sum converges.

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Question from the JNU SIS 2020 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.