Algebra 1 Chapter 5 test
1 answer:
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Answer:
The explicit form for the sequence is:
Step-by-step explanation:
In order to find an explicit form for the given sequence, you have to use the definition of arithmetic sequence and the <em>explicit formula</em>.
An arithmetic sequence is defined as a sequence where the difference of two consecutive terms is a constant.
The <em>explicit formula </em>is:
Where a1 is the first term, d is the common difference and an is the nth term of the sequence.
You have to subtract two consecutive terms to obtain d:
24-13= 11
35-24=11
Therefore d=11
In this case a1=13
Replacing in the formula: