Answer:
see explanation
Step-by-step explanation:
These are the terms of an arithmetic sequence
The n th term ( explicit rule ) for an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = 9 - 2 = 16 - 9 = 23 - 16 = 30 - 23 = 7 and a₁ = 2, hence
[tex]a_{n}[/tex] = 2 + 7(n - 1) = 2 + 7n - 7 = 7n - 5
The explicit rule for the sequence 2,9,16,23,30... is 7n - 5
2,9,16,23,30
= 7
The explicit rule is defined by
nth term = a + (n - 1) d
= 2 + (n - 1)7
= 2 + 7n - 7
= 7n - 5
Learn more about arithmetic progression:
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