MATH SOLVE

4 months ago

Q:
# Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?The range contains only natural numbers.The domain contains only natural numbers. Exponential bases must be whole numbers. Initial values must be whole numbers.

Accepted Solution

A:

Answer:The correct answer is:The domain contains only natural numbers.Step-by-step explanation: The graphs of geometric sequences are a series of unconnected points rather than a smooth curve because:The domain contains only natural numbers. As the geometric sequence us given as:[tex]a_1=a,a_2=ar,a_3=ar^2,....[/tex]where a is the first term of the sequence and r is the common ratio of the geometric sequence.Also [tex]a_n[/tex] denotes the nth term of the sequence where n belongs to natural numbers that is the domain of the function is natural numbers.