Sequences and Series

NZ Level 7 (NZC) Level 2 (NCEA)

Applications of Geometric Progressions

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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Use arithmetic and geometric sequences and series

Apply sequences and series in solving problems