Answer:
a) Geometric sequence
b) The graph grows exponentially
c)[tex]a_n=2\cdot5^{n-1}[/tex]
Step-by-step explanation:
a) The given sequence is 2,10,50,250,...
The first term of this sequence is [tex]a_1=2[/tex]
There is a common ratio of [tex]r=\frac{10}{2}=5[/tex]
Therefore the sequence is geometric
b) The graph will behave like an exponential growth function.
c) The explicit equation of this sequence is given as:
[tex]a_n=a_1r^{n-1}[/tex]
We plug in the first term and the common ratio to get:
[tex]a_n=2\cdot5^{n-1}[/tex]
