+0

# New sequence.......

0
75
2

Please give the next 3 terms in this sequence: 1, 2, 3, 18/5, 18/5, 108/35....etc.
Also, please explain the formula used. Thanks for help.

Guest Mar 9, 2017
Sort:

#1
0

Sequence when converting fractions to decimals is 1, 2, 3, 3.6, 3.6, 3.0857142857142857...
It appears to be a sine graph.
\(y=1.88+1.81sin(0.58x-1.09)\)

Guest Mar 9, 2017
#2
0

The sequence is: 1, 2, 3, 18/5, 18/5, 108/35, 81/35, 54/35, 162/175.....etc.

This is a sequence of "rising factorials" beginning as follows: a(n) =6^(n -1) / 3(n - 1). Sometimes a(n) is called "Pochhammer symbol". For example: the 6th term is arrived at, according to the formula above, as follows: 6^(6 - 1) / (3.4.5.6.7) =7,776 / 2,520 = 108/35.

Guest Mar 9, 2017

### 14 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details