1970 AHSME Problems/Problem 22

Revision as of 14:06, 2 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == If the sum of the first <math>3n</math> positive integers is <math>150</math> more than the sum of the first <math>n</math> positive integers, then the sum of the ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

If the sum of the first $3n$ positive integers is $150$ more than the sum of the first $n$ positive integers, then the sum of the first $4n$ positive integers is

$\text{(A) } 300\quad \text{(B) } 350\quad \text{(C) } 400\quad \text{(D) } 450\quad \text{(E) } 600$

Solution

$\fbox{A}$

See also

1970 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 21
Followed by
Problem 23
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png