Posted by **Meghan** on Monday, May 10, 2010 at 8:02am.

use the method of Gauss to find the sum.

2+4+6+...+300

is it 300(300+2)/2 = 45300

- math -
**Reiny**, Monday, May 10, 2010 at 2:27pm
close, but incorrect

there are only 150 terms in the sequence 2,4,6,.. 300

so according to Gauss, it would be

150(2+300)/2

= 22650

Proof: long way

a = 2 , d = 2

t(n) = a+(n-1)d

300 = 2 + (n-1)2

300 = 2 + 2n - 2

n = 150

S(150) = (150/2)(4 + 149(2))

= 22650

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