SOLUTION: Need help using Sigma Notion to represent this series, 2 + 5 + 8 + 11 + 14 + 17 Solutions in Sigma Notion: https://postimg.org/image/z9biwjgjr/ Ty

Click here to see ALL problems on Sequences-and-series

Question 1041158: Need help using Sigma Notion to represent this series,
2 + 5 + 8 + 11 + 14 + 17
Solutions in Sigma Notion: https://postimg.org/image/z9biwjgjr/
Ty
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

The first term is 2. The common difference is 3. The common difference is the value you add to any term to get the next term

eg: 5+3 = 8 or 14+3 = 17

So the nth term of the arithmetic sequence is

a(n) = a1+d(n-1)
a(n) = 2+3(n-1)
a(n) = 2+3n-3
a(n) = -1+3n

Now this formula only works if you start at n = 1. Sometimes books will start at n = 0. So we need to add on 3 to correct for this

-1+3n+3 = -1+3+3n = 2+3n

If we started at n = 0, and we had 6 terms of 2+3n added up (n = 0 through n = 5), then we would have this summation

So the final answer is choice D