The formula for the value of nth term is [tex]a_{n}[/tex] = 3n + 1
Step-by-step explanation:
The formula of the nth term in the arithmetic sequence is
[tex]a_{n}=a+(n-1)d[/tex] , where
- a is the first term of the sequence
- d is the common difference between each two consecutive terms
∵ The first term of an arithmetic sequence is equal to four
∴ a = 4
∵ The common difference is equal to three
∴ d = 3
- Substitute these values in the rule of the nth term
∵ [tex]a_{n}=a+(n-1)d[/tex]
∴ [tex]a_{n}=4+(n-1)3[/tex]
- Simplify it
∴ [tex]a_{n}=4+3n-3[/tex]
∴ [tex]a_{n}=1+3n[/tex]
The formula for the value of nth term is [tex]a_{n}[/tex] = 3n + 1
Learn more:
You can learn more about the sequence in brainly.com/question/7221312
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