Respuesta :

Answer:  The required value of [tex]a_{10}[/tex] is 25.

Step-by-step explanation:  We are given a sequence whose n-th term is given as follows :

[tex]a_n=3n-5.[/tex]

We are to find the value of [tex]a_{10}.[/tex]

To find the value of  [tex]a_{10}.[/tex], we need to put n = 10 in the given expression.

So, substituting n = 10 in the given expression, we get

[tex]a_{10}=3\times 10-5=30-5=25.[/tex]

Thus, the required value of [tex]a_{10}[/tex] is 25.

Answer: The value of [tex]a_{10}=25[/tex]

Step-by-step explanation:

The given sequence : [tex]a_n=3n-5[/tex] .

To find the value of [tex]a_10[/tex] , need to substitute the value n=10 in the above equation , we will get

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

Open Parenthesis ,

[tex]a_{10}=3\times10-5[/tex]

Solve product ,

[tex]\Rightarrow\ a_{10}=30-5[/tex]

Solve subtraction,

[tex]\Rightarrow\ a_{10}=25[/tex]

Therefore , the value of [tex]a_{10}=25[/tex]

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