Sequences and Series

NZ Level 7 (NZC) Level 2 (NCEA)

Applications of Arithmetic Progressions

A diving vessel descends below the surface of the water at a constant rate so that the depth of the vessel after $4$4 minutes, $8$8 minutes and $12$12 minutes is $5$5 metres, $10$10 metres and $15$15 metres respectively.

If $n$`n` is the number of minutes it takes to reach a depth of $40$40 metres, solve for $n$`n`.

Easy

Approx 3 minutes

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Use arithmetic and geometric sequences and series

Apply sequences and series in solving problems