If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,1/d ,1/eare i | Filo
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Class 11

Math

Algebra

Sequences and Series

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If a, b, c are in A.P., b, c, d are in G.P. and are in A.P. prove that a, c, e are in G.P.

Solution: Solution: As a,b and c are in A.P.


As, b,c and d are in G.P.

As, 1/c,1/d,1/e are in A.P.


From (2)
From (1)

As, ,Thus, a,c and e are in G.P.
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