4.02 Lesson Check Arithmetic Sequences (8)

asked Oct 3, 2024 118k views

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by Rahn

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Answer:

a_9= -134

Explanation:

Us the formula for arithmetic sequence

a_n = a_1 + d(n -1)

where

$\rm\:a_n=\:nth\:term\\\:d\:=\:common\:difference\\n\:=\:number\:of\:terms$

Given

$a_1 = -38\\d = - 12\\n = 9$

$a_9 = -38 -12(9 - 1) \\\\a_9 = -38 - 12(8)\\\\a_9= -38 - 96\\\\a_9= -134$

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