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For the sequence [tex]a_n = 3n - 5[/tex], what is the value of [tex]a_{10}[/tex]?

Sagot :

GinnyAnswer
To determine the value of [tex]\( a_{10} \)[/tex] for the sequence defined by [tex]\( a_n = 3n - 5 \)[/tex], we need to substitute [tex]\( n \)[/tex] with 10 in the formula.

1. Start with the sequence formula:
[tex]\[ a_n = 3n - 5 \][/tex]

2. Substitute [tex]\( n = 10 \)[/tex] into the formula:
[tex]\[ a_{10} = 3(10) - 5 \][/tex]

3. Perform the multiplication:
[tex]\[ 3 \times 10 = 30 \][/tex]

4. Subtract 5 from the result of the multiplication:
[tex]\[ 30 - 5 = 25 \][/tex]

Thus, the value of [tex]\( a_{10} \)[/tex] is:
[tex]\[ \boxed{25} \][/tex]
Medunno13
See the attached image:
View image Medunno13
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