SOLUTION: i really need help with this! i already got on tutor.com and didnt understand how they explained it! can someone help?!?! 1)Find the sum of the arithmetic sequence 2, 4, 6, 8, ...

Algebra ->  Sequences-and-series -> SOLUTION: i really need help with this! i already got on tutor.com and didnt understand how they explained it! can someone help?!?! 1)Find the sum of the arithmetic sequence 2, 4, 6, 8, ...      Log On


   



Question 631826: i really need help with this! i already got on tutor.com and didnt understand how they explained it! can someone help?!?!
1)Find the sum of the arithmetic sequence 2, 4, 6, 8, ..., 70.
2)Find the sum of the geometric sequence 42, 7, 7/6, .... , 42(1/6)^8
3)find the sum of the first n terms of the sequence. The sequences are either arithmetic or geometric. -1, 11, -121, ...; n = 9
4)find the sum of the first n terms of the sequence. The sequences are either arithmetic or geometric. 14, 8, 2,...; n=9

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
sum of the arithmetic sequence 2, 4, 6, 8, ..., 70.
to Apply**** S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29
I. determine d= 2 and n = 35 |note: 70 = 2++%2B%28n-1%29%2A2 as a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad
II. Substitute values found into S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29 to find Sum requested
S%5B35%5D=%2835%2F2%29%282%2A2%2B+%2834%292%29 Do calculation
14, 8, 2,...; n=9 same as above Steps
S%5B9%5D=%289%2F2%29%282%2A14%2B+%288%29%28-6%29%29
sum of the geometric sequence -1, 11, -121, ...; n = 9
to Apply****S%5Bn%5D+=+a%5B1%5D%28%281-r%5En%29%2F%281-r%29%29
I. determine r and n
II. Substitute into Formula
Recommend Posting the Geomteric Sequences separately