Geometric Sequences & Series (Leaving Cert Mathematics): Quizzes

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Geometric Series
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7 questions from this quiz

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What is a geometric series?

Sum of a geometric sequence

What is the general form of a geometric series?

a+ar+ar2+ar3+ar4,...a+ar+ar^2+ar^3+ar^4,...

What is the formula for SnS_n in a geometric series?

Sn=a(1rn)1rS_n=\frac{a(1-r^n)}{1-r}

In the sequence 64, 32, 16,..., what is the first term aa?

64

In the sequence 64, 32, 16,..., what is the common ratio rr?

12\frac{1}{2}

What is S10S_{10} for the sequence 64, 32, 16,...?

10238\frac{1023}{8}

When finding S10S_{10} for 64, 32, 16,..., what does the denominator 1r1-r simplify to?

12\frac{1}{2}

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