Write an explicit formula for ay, the nth term of the sequence 39, 33, 27, ....

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01-06-2022
Mathematics

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Write an explicit formula for ay, the nth term of the sequence 39, 33, 27, ....

Sagot :

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Sqdancefanidn Sqdancefanidn · Answer 1 · 2022-06-14T16:40:58-04:00

Answer:

ay = 39 -6(n -1)

Step-by-step explanation:

The explicit formula for an arithmetic sequence can be written by using the first-term value and the common difference in the generic formula.

__

The generic formula for the n-th term of an arithmetic sequence is ...

[tex]a_n=a_1+d(n-1)[/tex]

where a₁ is the first term of the sequence (39), and d is the difference between sequential terms (33-39 = -6).

Using the values for this sequence in the generic formula, we have ...

ay = 39 -6(n -1)

Sagot :

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