Talk:1959 AHSME Problems/Problem 33

Revision as of 20:56, 7 January 2022 by Infinity-mod-one (talk | contribs) (Created page with "A harmonic progression is a sequence of numbers such that their reciprocals are in arithmetic progression. Let <math>S_n</math> represent the sum of the first <math>n</math> t...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A harmonic progression is a sequence of numbers such that their reciprocals are in arithmetic progression. Let $S_n$ represent the sum of the first $n$ terms of the harmonic progression; for example $S_3$ represents the sum of the first three terms. If the first three terms of a harmonic progression are $3,4,6$, then: $\textbf{(A)}\ S_4=20 \qquad\textbf{(B)}\ S_4=25\qquad\textbf{(C)}\ S_5=49\qquad\textbf{(D)}\ S_6=49\qquad\textbf{(E)}\ S_2=\frac{1}2 S_4$