Match the rule to the sequence n + 5 8, 13, 18, 23, 28
5n 6, 7, 8, 9, 10
3n + 5 5, 10, 15, 20, 25
5n + 3 8, 11, 14, 17, 20

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 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 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 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 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..