MYP Extended Mathematics Topic 5.2 Geometric…

Which of the following is the recursive definition for the geometric sequence $81, -27, 9, -3, \dots$ ?

Consider the geometric sequence where $u_2 = 10$ and $u_5 = 80$ . Find the common ratio .

A sequence is defined recursively by $u_{n+1} = \frac{2}{3}u_n$ with . What is the explicit formula for ?

A population of bacteria doubles in size every $4$ hours. If the initial population is $P_0$ , which expression represents the population after $24$ hours?

Consider a geometric sequence where $u_1 = -4$ and $r = 0.5$ . Which of the following is true regarding the behavior of the terms as $n$ increases?

$u_{n+1} = -\frac{1}{3}u_n, u_1 = 81$

$u_{n+1} = u_n - 108, u_1 = 81$

$u_{n+1} = \frac{1}{3}u_n, u_1 = 81$

$u_n = 81\left(-\frac{1}{3}\right)^{n-1}$

$u_n = 27 \cdot \left(\frac{2}{3}\right)^{n-1}$

$u_n = 27 + \frac{2}{3}(n-1)$

$u_n = \frac{2}{3} \cdot 27^{n-1}$

$u_n = 27 \cdot \left(\frac{2}{3}\right)^n$

MYP Extended Mathematics 5.2 Geometric Sequences Questionbank

MYP Extended Mathematics 5.2 Geometric Sequences Questionbank

MYP Extended Mathematics 5.2 Geometric Sequences Questionbank

MYP Extended Mathematics 5.2 Geometric Sequences Questionbank

MYP MYP Extended Mathematics Topic 5.2 Geometric Sequences Questionbank