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

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Arithmetic Series
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What does the word 'series' describe in mathematics?

Adding all terms in a sequence

What is the formula for the nthn^{th} term of an arithmetic sequence?

un=a+(n1)du_n = a + (n-1)d

What does SnS_n denote in an arithmetic series?

Sum of first nn terms

Which formula gives the sum of the first nn terms of an arithmetic series?

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

For sequence un=2n+3u_n = 2n+3, find S100S_{100} with a=5a=5, d=2d=2.

10,40010,400

If u3=72u_3 = 72 in an arithmetic sequence, what equation relates aa and dd?

a+2d=72a + 2d = 72

What is the alternative sum formula where ll is the last term?

Sn=n2[a+l]S_n = \frac{n}{2}[a + l]

For n=2159\sum_{n=21}^{59}, what is the common error to avoid?

Using S59S21S_{59} - S_{21}

How many terms are in n=2159\sum_{n=21}^{59}?

3939

For un=2n+5u_n = 2n+5 with n=1Nun=2200\sum_{n=1}^N u_n = 2200 and a=7a=7, d=2d=2, find NN.

4444

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