Respuesta :
Answer: -65
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Explanation:
First let's find the nth term denoted as [tex]a_n[/tex]
[tex]a_n = a_1 + d(n-1) \ \text{ ... formula for arithmetic sequences}\\\\a_n = 20 + (-5)(n-1) \\\\a_n = 20 -5n+5 \\\\a_n = -5n+25 \\\\[/tex]
Now we can find the 18th term by plugging in n = 18
[tex]a_n = -5n+25 \\\\a_{18} = -5(18)+25 \\\\a_{18} = -90+25 \\\\a_{18} = \boldsymbol{-65} \\\\[/tex]
The 18th term is -65
Answer:
-65
The 18th term in the sequence is -65.
Step-by-step explanation:
an=a1+(n-1)d
d=-5
a1=20
n=18
a18=20+(18-1)(-5)
Simplify.
a18=20+(17)(-5)
a18=20-85
a18=-65
The 18th term in the sequence is -65.
Hope this helps!
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