Interactive practice questions
Consider the infinite geometric sequence: $72$72, $-24$−24, $8$8, $-\frac{8}{3}$−83, $\ldots$…
a
Determine the common ratio between consecutive terms.
b
Find the limiting sum of the geometric series.
Medium
2min
For a particular geometric sequence, $t_1=7$t1=7 and $S_{\infty}=\frac{35}{4}$S∞=354.
Medium
3min
Consider the recurring decimal $0.4444$0.4444 . . . By considering it in the form $\frac{4}{10}+\frac{4}{100}+\frac{4}{1000}+\frac{4}{10000}+\text{. . .}$410+4100+41000+410000+. . . , rewrite the recurring decimal as a fraction.
Medium
2min
The decimal $0.5555$0.5555$...$... can be expressed as a fraction.
Medium
2min
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