Jills mom stored some of the honey in a container that held 3/4 of a gallon she used half of thid amount to sweeten tea how much
1 answer:
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Answer:
- a1 = 8; an= an-1 - 2
- an = -3 + 4(n-1)
Step-by-step explanation:
1. The first step in problem solving is to look at the given information. Here, you can see that each number in the sequence is <em>2 less than the one before it</em>.
In the expression ...
an = an-1 - 2
the term an-1 means the previous term, the term just before term an. So, this equation means the term of the sequence is <em>2 less than the one before it</em>. Since this matches the description of the sequence, this recursive relation is part of the correct answer. (The other part is the definition of the first term of the sequence: a1 = 8.)
The recursive definition is ...
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2. The given sequence has first term a1 = -3, and common difference d = 4. That is, each term is 4 more than the previous one. The explicit formula for an arithmetic sequence is ...
an = a1 +d(n -1)
Filling in the given values gives you the explicit formula ...