Respuesta :

well, the rule is very explicit, an = 5n+3.

the 7th term is when n = 7, thus a7 = 5(7) + 3.

Answer: 38


Step-by-step explanation:

Given explicit formula of arithmetic sequence= [tex]a_n=5n+3[/tex]

To find the seventh term in the arithmetic sequence, substitute n=7 in the given explicit formula, we get

[tex]a_7=5(7)+3[/tex]

Now open parenthesis and multiply 5 to 7

[tex]\Rightarrow\ a_7=35+3\\\Rightarrow\ a_7=38[/tex]

Hence the seventh term of the given arithmetic sequence =38