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Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, ...

an = -15 + 9(n + 1)
an = -15 x 9(n - 1)
an = -15 + 9(n + 2)
an = -15 + 9(n - 1)

Answer :

bayosanuade

Answer: [tex]t_{n}=-15+9(n-1)[/tex]

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is given as:

[tex]t_{n}=a+(n-1)d[/tex]

[tex]a =[/tex] first term = -15

[tex]d =[/tex] common difference = -6 - (-15) = 9

[tex]n =[/tex] number of terms

substituting into the formula , we have :

[tex]t_{n} = -15+(n-1)9[/tex]

[tex]t_{n}=-15+9(n-1)[/tex]

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