Consider the sequence:

3 , 8 , 13 , 18 ,

the recursive formula for this sequence is:



in complete sentences, explain what and the 5 represnt in the formula. find . what do you need to know in order to find ?

The reprsents the nth term where n is some positive whole number {1,2,3,...}

The represents the term just before the nth term. For example, if n = 22 then and

The +5 at the end means we add 5 to the previous term just before the nth term to get the nth term. In other words, the rule is "add 5 to each term to get the next term".

To get the 9th term , we need to find the terms before this one because the recursive sequence builds up. The 9th term depends on the 8th term, which depends on the 7th term, and so on. The countdown stops until you reach the first term.

-------

(given)

(given)

(given)

(given)

(given)

(add 5 to the prior term)

So the 9th term is

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743