### Home > CAAC > Chapter 14 > Lesson 14.3.1.1 > Problem3-11

3-11.

Consider the sequence that begins $40,20,10,5,\dots$ Homework Help ✎

1. Based on the information given, can this sequence be arithmetic? Can it be geometric? Why?

Refer to the Math Notes box in Lesson 5.3.2.

2. Assume this is a geometric sequence. On graph paper, plot the sequence on a graph up to $n=6$.

Start by making a table of values.

3. Will the values of the sequence ever become zero or negative? Explain.

No. Multiplying by 0.5 will never yield 0 unless the other factor is 0, which is impossible in this sequence.
When multiplying two positive numbers, a negative number can never be obtained.