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3 years ago

What is the explicit formula for the arithmetic sequence –7.5, –9, –10.5, –12...

Mathematics

1 answer:

natita [175]3 years ago

3 0

Answer:

= - 1.5n - 6

Step-by-step explanation:

Given that the sequence is arithmetic with n th term ( explicit formula

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7.5 and d = - 9 - (- 7.5) = - 9 + 7.5 = - 1.5

= - 7.5 - 1.5(n - 1) = - 7.5 - 1.5n + 1.5 = - 1.5n - 6

Step-by-step explanation:

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From this knowledge, we know that

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