Question

create a context
directions: given the following piece of information, create a context that would be represented by this sequence. be sure to include two sentences describing where the sequence starts and its pattern.
1.

n	f(n)
0	3
1	6
2	12
3	24

context:
sentence 1 (starting point):
sentence 2 (pattern):
2.
context:
sentence 1:
sentence 2:

1. f(1)=2;

f(n)=f(n - 1)+4
context (2 sentences):
4.

n	f(n)
0	1
1	10
2	19
3	28

context (2 sentences):

Explanation:

1.

The sequence starts with \(n = 0\) and \(f(0)=3\). The pattern is that each term is double the previous term (\(f(n)=2\times f(n - 1)\) for \(n>0\)). We can create a context about a bacteria - growth scenario.

The points on the graph seem to follow a linear - decreasing pattern. We can create a context about an object's height over time.

The sequence starts with \(f(1)=2\) and has a common - difference of 4. We can create a context about a savings account.

Answer:

Context: A scientist is studying the growth of a certain bacteria.
Sentence 1 (starting point): Initially, there are 3 bacteria cells at time \(n = 0\).
Sentence 2 (pattern): The number of bacteria cells doubles every time - interval.

2.