Answer:
Sn = 2+3n
Step-by-step explanation:
Complete question
<em>Jared creates a number sequence that has a first term of 2 and a second of term of 5. Each term after the second is created by subtracting the term before the previous term from twice the previous term. He uses S (t) to denote term number t in his sequence. For example, S (1) =2 and S (2) = 5</em>
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Let the sequence be 2, 5,...
We are to find the nth term of the sequence
The nth term of an arithmetic sequence is expressed as
Sn = a+(n-1)d
a is the first term = 2
d is the common difference = 5- 2 = 3
Substitute
Sn = 5 + (n-1)(3)
Sn = 5+3n-3
Sn = 2+3n
Hence the nth term of the sequence is 2+3n
