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yKpoI14uk [10]
3 years ago
12

Please help answer this question as soon as possible!

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

a_{n} = 10.5 - 3n

Step-by-step explanation:

The explicit rule for an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A recursive formula has the form

a_{n} = a_{n-1} + d ( where d is the common difference )

Given

a_{n} = a_{n-1} - 3 ⇒ d = - 3

Thus explicit rule with a₁ = 7.5 and d = - 3

a_{n} = 7.5 - 3(n - 1) = 7.5 - 3n + 3 = 10.5 - 3n

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