Question

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

Answer 1

a) Geometric sequence

b) The graph grows exponentially

c)
`a_n=2\cdot5^(n-1)`

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=(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)`