If are in H.P

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Arithmetic progressions

Problem

If

a_1, a_2, a_3, \dots, a_n

are in H.P. and

f(k) = \sum_{r=1}^{n} a_r - a_k

then

\frac{a_1}{f(1)}, \frac{a_2}{f(2)}, \frac{a_3}{f(3)}, \dots, \frac{a_n}{f(n)}

are in: (a) A.P. (b) G.P. (c) H.P. (d) None of these

Related theory

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