NZ Level 7 (NZC) Level 2 (NCEA)
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Applications of Geometric Progressions

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
Approx 3 minutes
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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 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.

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:

Outcomes

M7-3

Use arithmetic and geometric sequences and series

91258

Apply sequences and series in solving problems

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