Question

A sequence us made by following the rules below. What is the 300th term in the sequence.

The first term is 3
If a term is even divide it by 2 to get the next term
If the term is odd multiply it by3 then add 1 to get the next term.

Answer 1

The 300th term in the sequence is: 898

How to find the nth term of the sequence?

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.

A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor. The common difference of that mathematical progression is the constant difference.

Based on the provided information , the nth term can be written as;

f(n) = ⁿ/₂

where:

n is even,

3n +1 where n is odd

Then for 300th term , we can input n = 299 to arrive at 300th term

Hence ((3 * 299) + 1 )

= 897 + 1

= 898

Then the 300th can be expressed as 898