Limiting value of a sequence (AQA GCSE Further Maths): Quizzes

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Limiting value of a sequence
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What is the limiting value of a sequence?

The value terms approach as nn gets large

What does the notation n→∞n \to \infty mean?

nn approaches infinity

What is a rational sequence?

A sequence where nth term is a fraction

In the division method, what should you divide by first?

The highest power of nn in expression

What happens to 1n\frac{1}{n} as n→∞n \to \infty?

It approaches zero

What is the limiting value of 2n−13n+2\frac{2n-1}{3n+2}?

23\frac{2}{3}

Which statement about 1n\frac{1}{n} is correct?

1n→0\frac{1}{n} \to 0 as n→∞n \to \infty

What does the infinity symbol (∞\infty) represent?

Without limit or endlessly large

As n→∞n \to \infty, what happens to 2n\frac{2}{n} and 1n2\frac{1}{n^2}?

Both approach zero

After dividing by highest power of nn, what do you do next in the division method?

Simplify the resulting expression

Why divide by the highest power of nn in rational sequences?

To identify which terms become negligible

What is true about a sequence's limiting value?

It's approached but not equaled by terms

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