Answer:
a) aₙ = n+5 → 6,7,8,9,10....
b) aₙ = 5n → 5,10,15,20,25...
c) aₙ = 3n+5 → 8,11,14,17,20
d) aₙ = 5n+3 → 8,13,18,23,28
Step-by-step explanation:
Explanation
Given [tex]n^{th}[/tex] term of the sequence
aₙ = n+5
Put n =1
a₁ = 1+5 =6
put n =2
a₂ = 2+5 =7
Put n=3
a₃ = 3+5 =8
and so on
The sequence 6,7,8,9,10....
b)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n
Put n=1 ⇒ a₁ = 5
put n=2 ⇒ a₂ = 10
and so on
5,10,15,20,25..
c)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 3n +5
put n=1 ⇒ a₁ =8
Put n=2 ⇒ a₂ =11
Put n=3 ⇒ a₃ = 14
and so on
The sequence 8 , 11, 14 , 17 , 20 ..
d)
Given [tex]n^{th}[/tex] term of the sequence aₙ = 5n +3
Put n=1 ⇒ a₁ = 8
Put n=2⇒ a₂ = 13
Put n=3 ⇒a₃ = 18
and so on
The sequence 8,13,18, 23..
