Which answer is the explicit rule for the sequence 2,9,16,23,30...
Accepted Solution
A:
Answer:see explanationStep-by-step explanation:These are the terms of an arithmetic sequenceThe n th term ( explicit rule ) for an arithmetic sequence is[tex]a_{n}[/tex] = aβ + (n - 1)dwhere aβ is the first term and d the common differenced = 9 - 2 = 16 - 9 = 23 - 16 = 30 - 23 = 7 and aβ = 2, hence[tex]a_{n}[/tex] = 2 + 7(n - 1) = 2 + 7n - 7 = 7n - 5