[tex]\large\underline{ \mathcal {SOLUTION}}:[/tex]
substitute 1,2,3,4,5,6 to the sequence
[tex] \\ [/tex]
a(n) = 3 + 2n
a(1) = 3 + 2(1)
a(1) = 3 + 2
a(1) = 5
[tex] \\ [/tex]
a(n) = 3 + 2n
a(2) = 3 + 2(2)
a(2) = 3 + 4
a(2) = 7
[tex] \\ [/tex]
a(n) = 3 + 2n
a(3) = 3 + 2(3)
a(3) = 3 + 6
a(3) = 9
[tex] \\ [/tex]
a(n) = 3 + 2n
a(4) = 3 + 2(4)
a(4) = 3 + 8
a(4) = 11
[tex] \\ [/tex]
a(n) = 3 + 2n
a(5) = 3 + 2(5)
a(5) = 3 + 10
a(5) = 13
[tex] \\ [/tex]
a(6) = 3 + 2n
a(6) = 3 + 2(6)
a(6) = 3 + 12
a(6) = 15
[tex] \\ [/tex]
[tex]\large\underline{ \mathcal {ANSWER}}:[/tex]
