SOLUTION: common difference = 5, first term = -2 ... The nth term of the series is 183. Fin the value of n. Can't get further than -2 + 5(n-1) = 183 .. how do i get to the answer?

Algebra ->  Sequences-and-series -> SOLUTION: common difference = 5, first term = -2 ... The nth term of the series is 183. Fin the value of n. Can't get further than -2 + 5(n-1) = 183 .. how do i get to the answer?      Log On


   

Question 610408: common difference = 5, first term = -2 ... The nth term of the series is 183. Fin the value of n.

Can't get further than -2 + 5(n-1) = 183 .. how do i get to the answer?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

common difference = 5, first term = -2

a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad

a%5Bn%5D=+-2+%2B%28n-1%29%2A5

a%5Bn%5D=+183+=++-2+%2B%28n-1%29%2A5

   183 = -2 + 5(n-1)     ||Good work!, Now just solve for n

    185 = (n-1)5

     37 = (n-1)

     38 = n

a%5B38%5D=-2+%2B%28n-1%29%2A5+=+-2+%2B+5%2A37+=+183 ||Always recommend Checkng Your Answer