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Permutations And Combinations
Question
If pth, qth, rth and sth terms of an A.P. be in G.P., then prove that (p – q), (q – r), (r – s) are in GP.
Solution
Let A be the first term and D be the common difference.
∴ 
...(i)
...(ii)
...(iii)
Since 
are in G.P.
∴ 
Now, 
and 
and 
and 
and 
and 
p - q, q - r, r - s are in G.P.
Some More Questions From Permutations and Combinations Chapter
Determine K, so that K + 2, 4K – 6 and 3K – 2 are three consecutive terms of an A.P.
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Mock Test Series
Mock Test Series