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What is the value of the 24th term in the following arithmetic sequence?
-9, -2, 5, 12, ...

A. -170
B. 152
C. -200
D. 170

Respuesta :

vanessaakaraiwe123

Answer:

Option B

Step-by-step explanation:

[tex]a_{n}=a_{1} +d(n-1)\\a_{n}=-9 +7(n-1)\\a_{24}=-9 +7(24-1)\\a_{24}=-9 +7(23)\\a_{24}=-9 + (161)\\\\a_{24}=152\\[/tex]

a=-9

d=-2-(-9)

= 7

d= 5-(-2)

= 5+2

=7

a24 = a+23d

= -9 + 23×7

= -9 + 161

a24 = 152

so, answer is b.152

hope it will help you.

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