Question

consider the following sequence where $f(1) = 256$. 256, 128, 64, 32, … enter the next two terms in the sequence in order separated by a comma. identify the type of sequence. arithmetic geometric there is not enough information given

Explanation:

Step1: Find common ratio

$\frac{128}{256} = \frac{1}{2}$, $\frac{64}{128} = \frac{1}{2}$, $\frac{32}{64} = \frac{1}{2}$

Step2: Calculate 5th term

$32 \times \frac{1}{2} = 16$

Step3: Calculate 6th term

$16 \times \frac{1}{2} = 8$

Step4: Classify sequence

Each term = prior $\times$ constant ratio

Answer:

Next two terms: 16, 8
Sequence type: Geometric