SOLUTION: Find the value of n for which Un has the given value: Un=(n/n+4)(-1)^n where Un= 7/9

Algebra.Com
Question 935306: Find the value of n for which Un has the given value:
Un=(n/n+4)(-1)^n where Un= 7/9

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
 where 







if n is odd, 









, 

, not a non-negative integer, 
so there is no solution for n being odd.

so n must be even, 











Checking:









That checks:

Answer: 

Edwin


RELATED QUESTIONS

can you show me the steps of working out, (-1)power n n divided by n+4 Un= 7/9 (answered by Fombitz)
I'm stumped and i can't seem to get this. Directions say Find the first five terms of... (answered by stanbon)
Find the first five terms of the given sequence (real confusing so work with me here) (answered by Fombitz)
Need help in Statistics? 1. What are some specific challenges related to creating a... (answered by lynnlo)
Find the first five terms of the given sequence (real confusing so work with me here)... (answered by Edwin McCravy)
An arithmetic sequence is given by 5, 8, 11, .... Write down the value of d. Find I. (answered by stanbon)
The general term of Un of a series is defined by the relation Un+1=0.3*(1+Un). n is... (answered by stanbon)
The Question: "The nth term of a series is {{{ (1/2)(2n-1) }}}. Write down the (n+1)th (answered by stanbon)
In a geometric sequence, the first term is 3 and the sixth term is 96. a. Find the... (answered by ikleyn)