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3 years ago

Which answer is the explicit rule for the sequence 2,9,16,23,30...

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

4 0

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

$a_{n}$ = 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

$a_{n}$ = 2 + 7(n - 1) = 2 + 7n - 7 = 7n - 5

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