Math Question..?

I have a question that I don’t know how to solve, can anyone solve it for me?

3. 1999 Paper 1

Each term of a number sequence is made by adding 1 to the numerator and 2 to the denominator of the previous term.

Here is the beginning of the number sequence:

1/3, 2/5, 3/7, 4/9, 5/11….

A: Write an expression for the nth term of the sequence.

B: The nth term of a different sequence is n divide n2 +1

The first term is ½

Write down the next three terms.

Top 1 Answers

A few days ago

Anonymous

Favorite Answer

The n-th term has n on top, and 2n + 1 underneath. It is therefore:

n / (2n + 1).

The n-th term is n / (n^2 + 1).

With n = 1, this is 1 / (1^2 + 1) = 1/2.

Putting n = 2 gives 2 / (4 + 1) = 2/5

n = 3 gives 3 / (9 + 1) = 3/10

n = 4 gives 4 / (16 + 1) = 4/ 17.

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