Investigating a Sequence of Numbers.

The first 200 words of this essay...

Mathematics HL Portfolio Assignment

Investigating a Sequence of Numbers [Type 1]

In this Mathematics Portfolio, I am going to investigate a sequence of numbers by mathematical methods which I have learnt in the I.B. Mathematics HL course. Throughout the investigation, I will include all my workings in order to let examiners know exactly how I come up with the answers.

A sequence is a set of numbers with a definite order. A series is a sum of a sequence. The sequence of numbers {an}?n =1 is:

1 x 1!, 2 x 2!, 3 x 3!, ...

The two signs outside the bracket of an represent the range of the sequence. The bottom one is where the sequence begins and the one above is where it should end. Since it is stated the sequence starts from n = 1, therefore the first term, a1 = 1 x 1!, the second term, a2 = 2 x 2! and the third term, a3 = 3 x 3!......

The ! sign after the numbers is called a factorial notation. The notation basically means the product of all the numbers from 1