The general term for the sequence 3/4, 6/5, 9/6, 12/7, 15/8 is?

Mathematics

2 answers:

vagabundo [1.1K]2 years ago

7 0

Answer:

Sequence $\frac{3n}{3+n}$ .

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 $\frac{3n}{3+n}$

Therefore, sequence $\frac{3n}{3+n}$ .

tigry1 [53]2 years ago

5 0

The numerators = 3n ( where n = sequence number of the term
The denominators = n + 3

Answer is 3n / (n + 3)

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2 years ago

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