Question

Find the nth term of the squence 2/4,3/5,4/6,5/7

Answer 1

Bonjour,

the nth term of the sequence can be written as (n + 1)/(n + 3).

Explanation:

To find the nth term of the sequence 2/4, 3/5, 4/6, 5/7, we can observe a pattern. The numerators are increasing by 1, and the denominators are increasing by 1 as well. The nth term can be expressed as:

Numerator: n + 1

Denominator: n + 3

So, the nth term of the sequence can be written as (n + 1)/(n + 3).

Answer 2

`a_n=(n+1)/(n+3)`

Explanation:

The given sequence is:

`(2)/(4),\;(3)/(5),\;(4)/(6),\;(5)/(7)`

To find the nth term of this sequence, we can observe a pattern in the numerator and denominator:

• The numerator is increasing by 1 in each term, starting from 2.
• The denominator is also increasing by 1 in each term, starting from 4.

So, the nth term can be written as:

• Numerator: n + 1
• Denominator: n + 3

Therefore, the nth term of the sequence is:

`a_n=(n+1)/(n+3)`