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.