Answer:
[tex]a_{40}=83[/tex]
Step-by-step explanation:
Use arithmetic sequence:
[tex]a_{n}=a_1+(n-1)d[/tex]
[tex]a_n[/tex] = the nᵗʰ term in the sequence
[tex]a_1[/tex] = the first term in the sequence
[tex]d[/tex] = the common difference between terms
[tex]a_{40}=a_1+(40-1)d[/tex]
[tex]d = (a_2-a_1)[/tex]
[tex]d = (7-5)[/tex]
[tex]d=2[/tex]
[tex]a_{40}=5+(40-1)2[/tex]
[tex]a_{40}=5+(39)2[/tex]
[tex]a_{40}=83[/tex]
