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

Answer here: __________


Sagot :

Certainly! To find the value of [tex]\( a_{10} \)[/tex] in the sequence defined by the formula [tex]\( a_n = 3n - 5 \)[/tex], follow these steps:

1. Identify the formula and the term to find: We are given the sequence formula [tex]\( a_n = 3n - 5 \)[/tex]. We need to find the value of the term when [tex]\( n = 10 \)[/tex].

2. Substitute [tex]\( n = 10 \)[/tex] into the formula: Replace the variable [tex]\( n \)[/tex] with 10 in the given formula.

[tex]\[ a_{10} = 3(10) - 5 \][/tex]

3. Perform the multiplication: Multiply 3 by 10.

[tex]\[ 3 \times 10 = 30 \][/tex]

4. Perform the subtraction: Subtract 5 from 30.

[tex]\[ 30 - 5 = 25 \][/tex]

5. Conclude the value: Therefore, the value of [tex]\( a_{10} \)[/tex] is 25.

So, the value of [tex]\( a_{10} \)[/tex] in the sequence [tex]\( a_n = 3n - 5 \)[/tex] is:

[tex]\[ \boxed{25} \][/tex]
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