The recursive formula of the arithmetic sequence is [tex]d_{n}=d_{n-1} +16[/tex].
What is recursive formula?
A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).
The recursive formula of an arithmetic sequence is, [tex]a_{n}=a_{n-1} +d[/tex]
From the question
14, 30, 46, 62, .......
d = [tex]62-46 =46-30=30-14=16[/tex]
d = 16
As per sequence
d(1) = 14
[tex]d_{n}-d_{n-1} =d=16[/tex]
[tex]d_{n}=d_{n-1} +16[/tex]
The recursive formula of the arithmetic sequence is [tex]d_{n}=d_{n-1} +16[/tex].
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