Respuesta :
The numerators = 3n ( where n = sequence number of the term
The denominators = n + 3
Answer is 3n / (n + 3)
The denominators = n + 3
Answer is 3n / (n + 3)
Answer:
Sequence [tex]\frac{3n}{3+n}[/tex].
Step-by-step explanation:
Given : sequence 3/4, 6/5, 9/6, 12/7, 15/8 .
To find : The general term for the sequence.
Solution : We have given that 3/4, 6/5, 9/6, 12/7, 15/8 .
Here numerators are 3 , 6, 9 , 12, 15
Denominators are 4 ,5 , 6, 7, 8.
We can see in numerators all are multiple of 3
As, 3 × 1 , 3 × 2, 3 × 3 ...... etc
We can write it as : 3n
Denominator are 3 +1 , 3 +2 , 3 +3 ..........etc
We can write it as 3 +n
So , sequence become [tex]\frac{3n}{3+n}[/tex]
Therefore, sequence [tex]\frac{3n}{3+n}[/tex].
