Sequences and Series

Hong Kong

Stage 4 - Stage 5

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

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

Easy

Approx 3 minutes

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.

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.

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

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

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