The recursive formula is an = a_(n-1) +4.
The correct option is (D).
what is recursive formula?
A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:
- The first term of the sequence
- The pattern rule to get any term from its previous term
Recursive Formula for Arithmetic Sequence
The recursive formula to find the nth term of an arithmetic sequence is:
an = an-1 + d for n ≥ 2
where
an is the nth term of a A.P.
d is the common difference.
Given:
14, 18, 22, 26, 30, …
a1=14
and, d= 18-14
d=4
a2= a1 + 4
a2 = 14+4= 18
Similarly, going this way
an = a_(n-1) +4
Hence, the recursive formula is an = a_(n-1) +4
Learn more about recursive function here:
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