SOLUTION: Find the sum. 2+4+6+...+428 a.) 46,225 b.) 46,010 c.) 45,582 d.) 45,796

Algebra ->  Sequences-and-series -> SOLUTION: Find the sum. 2+4+6+...+428 a.) 46,225 b.) 46,010 c.) 45,582 d.) 45,796      Log On


   



Question 1059608: Find the sum.
2+4+6+...+428
a.) 46,225
b.) 46,010
c.) 45,582
d.) 45,796

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The series is identical to summing from 1 to 214 and then multiplying by 2.
S%5Bn%5D=%28n%2F2%29%28n%2B1%29=%28214%2F2%29%28215%29=23005
So then multiplying by 2,
S%5Bn%5D=2%2A23005
S%5Bn%5D=46010