An arithmetic sequence is a sequence in which the difference between any two terms of the sequence is the same or equal. The value of a₄ of the arithmetic sequence aₙ = 3n + 5 is 17.
What is an Arithmetic Sequence?
An arithmetic sequence is a sequence in which the difference between any two terms of the sequence is the same or equal.
[tex]a_n = a_1 + (n-1)r[/tex]
where,
aₙ is the nth term of the sequence,
a₁ is the first term of the sequence,
r is a common difference between every two terms.
Given that the arithmetic sequence has the rule aₙ = 3n + 5. Therefore, the value of a₄ will be,
[tex]a_n=3n+5\\\\a_4 = 3(4)+5\\\\a_4=17[/tex]
Hence, the value of a₄ of the arithmetic sequence aₙ = 3n + 5 is 17.
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