1970 AHSME Problems/Problem 19

Problem

The sum of an infinite geometric series with common ratio $r$ such that $|r|<1$ is $15$ , and the sum of the squares of the terms of this series is $45$ . The first term of the series is

$\text{(A) } 12\quad \text{(B) } 10\quad \text{(C) } 5\quad \text{(D) } 3\quad \text{(E) 2}$

Solution

$\fbox{C}$

1970 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 18	Followed by Problem 20
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.

Page

Toolbox

Search

1970 AHSME Problems/Problem 19

Problem

Solution

See also