Arithmetic Series (Leaving Cert Mathematics): Quizzes

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Arithmetic Series
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11 questions from this quiz

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What is the key difference between an arithmetic sequence and an arithmetic series?

Series adds terms, sequence lists them

What does SnS_n represent in arithmetic series notation?

Sum of first nn terms

In the arithmetic series formula, what does the letter aa represent?

The first term

What does dd represent in an arithmetic series?

Common difference between terms

What is the formula for the sum of the first nn terms of an arithmetic series?

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

For series 5+8+11+14+...5 + 8 + 11 + 14 + ..., what is S20S_{20}?

670670

What is the formula for finding the nnth term using sums?

Tn=Sn−Sn−1T_n = S_n - S_{n-1}

If Sn=n2+2nS_n = n^2 + 2n, what is T1T_1?

33

For series 5+7+9+...5 + 7 + 9 + ..., if Sn=192S_n = 192, what is nn?

1212

When solving for nn gives (n−12)(n+16)=0(n-12)(n+16)=0, why reject n=−16n=-16?

nn must be positive

For the series 5+8+11+14+...5 + 8 + 11 + 14 + ..., what is the common difference dd?

33

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