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Grade 11

Applications of Geometric Sequences

Interactive practice questions

Suppose you save $\$1$$1 the first day of a month, $\$2$$2 the second day, $\$4$$4 the third day, $\$8$$8 the fourth day, and so on. That is, each day you save twice as much as you did the day before.

a

What will you put aside for savings on the $17$17th day of the month?

b

What will you put aside for savings on the $29$29th day of the month?

Easy
2min

Suppose you save $\$1$$1 the first day of a month, $\$2$$2 the second day, $\$4$$4 the third day, $\$8$$8 the fourth day, and so on. That is, each day you save twice as much as you did the day before.

Easy
4min

A car enthusiast purchases a vintage car for $\$220000$$220000. Each year, its value increases at a rate of $12$12 percent of its value at the beginning of the year. Find its value after $7$7 years, to two decimal places.

Easy
2min

Average annual salaries are expected to increase by $5$5 percent each year. If the average annual salary this year is found to be $\$49000$$49000:

Easy
6min
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Outcomes

11U.C.2.4

Solve problems involving arithmetic and geometric sequences and series, including those arising from real-world applications

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