Higher Multiplicative Series.pdf (223.92 kB)

Download file# HIGHLY MULTIPLICATIVE SERIES

In the Fibonacci series we have two numbers by adding
them we get a series consisting of even and odd numbers in this it
goes up to infinity we can track any n
th number by the Binet’s formula.
I have just thought of the multiplication of the first two terms and
continued till where I can go, it means that the first two terms in the
form (a, b) we will continue the multiplication as we do the addition
in the Fibonacci series. As a result we will get the big integers from
the 7th term approximately which is obvious by multiplying to its
previous one it will come to an a very big integer which cannot be
accountable by some range. If we do the multiplication the first two
terms will be the same however from the third term it can be written
as the power of that integers in which the powers will be following
the Fibonacci series in this we can also find the n
th term for the
multiplicative series. Here the first two terms will in the same order
as it will be given to find the series by changing the order it will
violates the rule of restricted term. The meaning of the restricted
here is that the order of (a, b) will be the same throughout the
calculation of whole series we cannot alter that if we do so them it
will not be more restricted term. So there are two concept in the
multiplicative series restricted and non-restricted series. If the (a,
b) is there and the operation is going on then it can be said as the
restricted series if it is given (a, b) and asked for the (b, a) series
then it is said as non-restricted series. I have considered 4 possible
criteria to check the pairing of the variables (a, b). We will get to
know about the series and also the n
th term value of that series for
all possible solutions

## Funding

### Vishal Pandey

## History

## Email Address of Submitting Author

bishalpandey2001@gmail.com## ORCID of Submitting Author

https://orcid.org/my-orcid?orcid=0000-0002-5139-8392## Submitting Author's Institution

St Thomas' College of Engineering and Technology## Submitting Author's Country

- India