NZ Level 8 (NZC) Level 3 (NCEA) [In development]

Comparing Exponential Models

Consider the two number sequences.

$f\left(n\right)$`f`(`n`): $1$1, $3$3, $9$9, . . .

$g\left(n\right)$`g`(`n`): $1$1, $2$2, $4$4, . . .

a

Write a formula for $f\left(n\right)$`f`(`n`), the $n$`n`th term in the sequence.

b

Write a formula for $g\left(n\right)$`g`(`n`), the $n$`n`th term in the sequence.

c

The sequence $f\left(n\right)$`f`(`n`) has been graphed. On the same axes, graph the first $4$4 terms of the sequence $g\left(n\right)$`g`(`n`) as ordered pairs on the number plane.

Loading Graph...

Easy

Approx 3 minutes

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Form and use trigonometric, polynomial, and other non-linear equations

Apply trigonometric methods in solving problems