### Home > CC4 > Chapter 7 > Lesson 7.1.1 > Problem 7-10

7-10.

Consider the sequence that begins 40, 20, 10, 5, … Homework Help ✎

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

Assume this is a geometric sequence. On graph paper, graph the sequence up to

*n*= 6.Will the values of the sequence ever become zero or negative? Explain.

Read the Math Notes box in Lesson 5.3.2.

Start by making a table of values.

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.