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7.05 Geometric series

Interactive practice questions

Consider the series $5+10+20$5+10+20 ...

Find the sum of the first $12$12 terms.

Easy
3min

Find the sum of the first $5$5 terms of the geometric sequence defined by $a=2.187$a=2.187 and $r=1.134$r=1.134.

Give your answer correct to two decimal places.

Easy
2min

Find the sum of the first $5$5 terms of the geometric sequence defined by $a=-4.186$a=4.186 and $r=-2.848$r=2.848.

Give your answer correct to two decimal places.

Easy
2min

Consider the geometric series $64+16+4$64+16+4$\ldots$

Find the sum of the first $7$7 terms.

Easy
2min
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Outcomes

A-SSE.4

Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.

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