Question

What is the answer to A,B,C?Any help would be great thanks

Answer 1

Answer:

a) Geometric sequence

b) The graph grows exponentially

c)$a_n=2\cdot5^{n-1}$

Step-by-step explanation:

a) The given sequence is 2,10,50,250,...

The first term of this sequence is $a_1=2$

There is a common ratio of $r=\frac{10}{2}=5$

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:

$a_n=a_1r^{n-1}$

We plug in the first term and the common ratio to get:

$a_n=2\cdot5^{n-1}$