Sequences & Series (AQA A-Level Mathematics): Quizzes

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Language of Sequences & Series
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10 questions from this quiz

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What is a sequence?

A list of numbers

For un=7n+n2u_n = 7n + n^2, what is u1u_1?

8

What is the common difference in an arithmetic sequence?

Constant difference between terms

What is the common ratio in a geometric sequence?

Constant factor between terms

What is a series?

Sum of terms of a sequence

What is the formula for SnS_n in an arithmetic series?

Sn=n2(2a+(n1)d)S_n = \frac{n}{2}(2a + (n-1)d)

What is the formula for the first nn terms of a geometric series?

Sn=a1rn1rS_n = a\frac{1-r^n}{1-r}

When does an infinite geometric series converge?

When r<1|r| < 1

What does i=14i\sum_{i=1}^{4} i equal?

10

What does it mean for a series to converge?

Sum approaches a finite value

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