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MULTIPLE CHOICE 9th grade math: help me find the formula to the nth term:

MULTIPLE CHOICE 9th Grade Math Help Me Find The Formula To The Nth Term class=

Sagot :

Answer:

[tex]a_{n}[/tex] = - 5n - 2

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 12 - (- 7) = - 17 - (- 12) = - 5

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 7 and d = - 5, then

[tex]a_{n}[/tex] = - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2

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