Question

Find the 5th,50th, and nth terms of the arithmetic sequence that begins 11, 20, 29,… The fifth term is:____ The 50th term is:____ The nth term is:_____

Answer 1

The fifth term is 47. The 50th term is 452. The nth term is 2+9n.

Explanation:

`a=first term\\n= term\\`

d= common difference

`a+(n-1)d\\=11-(5-1)(9)\\=47`

`=11+(50-1)(9)\\=452`

`=11+(n-1)(9)\\=11+9n-9\\=2+9n`